Geometric Quantities and Expressions in Grade VI

Hello friends,Earlier we have discussed and practiced on commutative property worksheets and today we are going to discuss about the topic geometric quantities and geometric expressions which you will be facing in grade VI of karnataka secondary education board. Although we have got some geometry help in previous class. But it will be tough for you to understand the part of geometry now. We will study about triangle and circle.
In geometry triangle is the combination of three sides with edges
Triangle is of fallowing type
1Equilateral
2 Isosceles
3 Right angles
4 Obtuse triangles
5Acute triangle
Firstly we will discuss about equilateral triangle
Equilateral triangles are those triangles whose all the angles are equal. As we know sum of all the angles of triangle is 180, and a triangle consists of 3 angles so all the angle will be of 60. As all the angles are equal it means all the sides are equal.(want to Learn more about Geometric Quantities,click here),
Isosceles triangles are those triangles whose 2 sides are equal and sum of two sides will be  greater than the third one. It has two sides equal and one side can be anything. If 2 sides are same then we can say that 2 angles will be same.
Right angle triangle is the triangle which has one angle of 90 degree and other angle can be anything. Right angle means 90 degree. A right angle triangle can be isosceles in one condition if rest two angles are of 45 degree.
For studying about obtuse triangle we must know about obtuse angle. Any angle greater than 90 degree and less than 180 degree is called obtuse angle so we can say that if in a triangle an angle is of more then 90 degree then that triangle is called obtuse angle. An obtuse angle can never be a right or isosceles triangle.
For studying about acute triangle we must know about acute angle. Any angle between 1 to 90 degree is called acute angle. So acute triangle will have one angle less than 90 degree.
Let us discuss some problems related to triangle.
Example –A right angle triangle has an angle 0f 60 degree find the rest two angles.
As it is a right angle triangle it means one angle should be 90 degree and one is given 60 degree. Now we just need to find out one angle. We know some of the angles is 180 degree so we just need to add both the given angles and subtract them with 180 degree.
So 90+60=150
And 180-150=30
So we have to find the angle as 30 degree. We also conclude one thing with the above that side opposite to angle 90 is bigger than the side opposite to 30 and  60 degree angle. The side opposite to 30 degree will be will be the smallest one.
You can also find sides of triangle with the angle that we will  discuss it in next coming  articles. Hope you have understood the concept of triangle as we have discussed all the types of triangles.
This is all about the Geometric Quantities and Expressions and if anyone want to know about Constructing sample spaces then they can refer to internet and text books for understanding it more precisely.Read more maths topics of different grades such as Basic constructions in the next session here. 

Multistep Problems in Grade VI

Hello friends Previously we have discussed about rational expressions applications word problems and today we are going to discuss a new topic called multi step problems which  you will be facing in algebra 1 in Grade VI of karnataka education board. It can be a difficult task for you to solve multi step problems in mathematics. As you have already studied about one step problem in grade V. Now we are here to tell you about multistep problems. Firstly we are going to discuss about multi step linear equations.
You are familiar with one step linear equation. Now for multi step you need to focus more as it is not that easy as one step equation problems. It can be well understood with the help of an example.
Example-Raman has a math book which consist of 300 pages. If he reads 45 pages on Monday, 65 pages on Wednesday, and 25 pages on Thursday. How many pages are left to be read?
Solution:
                 300 tells the total number of pages
                 45 tells the page read on Monday
                 65 tells the page read on Wednesday
                25 tells the page read on Thursday
And the question asked is how many pages are left?
Most of you will recognize that you need to add 45+65+25 = 135. Now you need to go to multistep.
Number of pages read by Raman is 135. But you need to find number of pages left. So for that you need to subtract 135 from 300. So when you do 300-135, you will get your answer  that is 165. So number of pages left to be read is 165.
Now we will do another example which will surely clear all your doubts about multi step problems.
Example –Rohan has bought 12  dozen of bananas  at 20 rupees per dozen. Now he sold 50 bananas at 2 rupees each and rest  bananas at 3 rupees each. Now you have tell how much profit he made.
Solution:12 dozen tells us that Rohan has 144 bananas as 12*12=144
                  He bought a dozen at the rate of 20 so total cost=20*12=240
                Now he sold 50 bananas for 2 rupees so selling price=50*2=100
                 Now the number of bananas left with him are =144-50=94
               So he sold 94 bananas for 3 rupees each so selling price =94*3=282
So total sold cost=282+100=382
Now he bought it at the cost of 240 and sold it at the cost of 382
Now profit=selling price - cost price
So profit=382-240=138
So Rohan made a profit of 138 rupees
Now we will discuss one multistep linear equation problem
Example: solve 2X+6=16
Now for solving this type problem you must know sign exchange rule as we want any number to go from left side to right side we need to change its sign. If it is ‘+’than it will converted to’- ’ and if it is multiply than it  changes to divide. Now let  see the above problem.
We need to send left side 6 to right side so the equation will be
2X=16-6
Or
2X=10
Now we need to send 2 to right side
X=10/2
Or
X=5
So this is a brief description about multistep problem and I hope that you have understood it and if anyone want to know about Properties of 2-d and 3-d figures then they can refer to internet and text books for understanding it more precisely.Read more maths topics of different grades such as Representing probability in the next session here.

Understand Properties of Circles

Hello friends,Previously we have discussed about operations with rational numbers and today we are going to learn about Properties of circles, circle for grade VI of karnataka board. Before, we move to the topic, it necessary to know about the circle that can provide you help with math in solving problems. In geometry circle is a simple shape and defined as the set of points that are equally distance from the centre of the circle or its origin. a line  whose endpoints lie on the circle and passes through the centre of circle is called diameter and this line has largest distance between any two points on the circle. A line that intersects the circle or a curve at two points is called secant. Radius is a line which is half of the diameter. Now area of the circle is defined as total space inside the boundary of the circle. The area of a circle can be found if the radius of the circle is given with the help of formula that is,(for more help with circle refer this)

Area=r2 where r is the radius of circle and is an irrational constant and approximately equal to 3.141592654.

If we have the value of diameter (d) and radius than circumference of circle is

C=2r=d, where d is diameter

Lets we are discussing about the Properties of circles. In geometry, the properties of the circle consist of large number of facts about circles and their relations to straight lines, angles and polygons. All Properties of circles are given below.

Circles having equal radius are congruent and having different radius are similar.

 The circle's radius and circumference are proportional and circle having the largest area for a given length of perimeter.

The square of radius and the area enclosed are proportional and constants of proportionality are 2π and π.

 A circle which has radius 1 at its centre of origin is called the unit circle.

A radius perpendicular to a chord bisects the chord and chords is one which is equidistant from the center are equal in length. The longest chord of the circle is diameter and equal chords have equal circumferences.

If any two chords intersect and divides one chord into lengths p and q and divides the other chord into lengths r and s, then pq = rs. On other hand if any two perpendicular chords intersect and divides one chord into lengths p and q then p2+q2+r2+s2 equals the square of the diameter.

A tangent to a circle is the line perpendicular drawn to a radius through the end point of the radius.

If two tangents drawn from a point outside to a circle then they are equal in length.

The angle subtended at the origin by its circumference is equal to four right angles. The circumference of two different circles is proportional to their corresponding radii and the arcs (The connected part of the circle's circumference is called arc) of the same circle are proportional to their corresponding angles of that circle.

 The equal circles or radii of the same circle are equal. These are the Properties of circles.

From the above discussion I hope that it would be helpful for you to understand Properties of circles and if anyone want to know about Evaluating formulas

then they can refer to internet and text books for understanding it more precisely. You can also refer Grade VII blog for further reading on Properties of lines.

Solve Rational Numbers Problem

Hello friends rational number is an important for grade VI student karnataka secondary education board. They can be written as a ratio of two integers in the form a/b where a and b are integers, b is not zero. Rational Numbers are whole numbers, math fractions and decimals - the numbers we use in our daily life. The set of rational numbers is denoted by Q, and represents the set of all possible integer-to-natural-number ratios a/b. A rational number a/b is said to have numerator a and denominator b. If the numerator or the denominator of a rational number is a negative integer, then the rational number is called a negative rational number. Numbers that are not rational are called irrational numbers. The real number line consists of the union of the rational and irrational numbers. The set of rational numbers is a of measure zero on the number line. So it is small compared to the irrationals and the continuum. The elementary algebraic operations for combining rational numbers are exactly the same as for combining fractions. Positive rational numbers are represented to the right of 0 and Negative rational numbers are represented to the left of 0.

Simply any number that can be made by dividing one integer by another is called rational number. The word comes from "ratio" and is called rational number. Zero divided by any other integer equals zero, therefore zero is a rational number (but division by zero is undefined).

Now let us discuss about solving rational number problem. We will take some examples for explanation.(Learn more about rational numbers here),

1/2 is a rational number (1 divided by 2, or the ratio of 1 to 2)

0.75 is a rational number (3/4) = 075/100 = 3/4

1 is a rational number (1/1) =1/1 =13.32 is a rational number =(1332/100)

-5.2 is a rational number = (-52/10)

Any rational number is trivially also an algebraic number. It is always possible to find another rational number between any two members of the set of rationales. Therefore, rather counter intuitively, the rational numbers are a continuous set, but at the same time countable.

The elementary algebraic operations for combining rational numbers are exactly the same as for combining fractions

For a,b and c any different rational numbers, then

1/(a-b)² +1/(b-c)² +1/(c-a)²

is the square of the rational number

a²+b²+c²-ab-bc-ca /(a-b)(b-c)(c-a)

Now let's move to an example of adding rational numbers

Two fractions are added as follows

¼ + ¼= 1+1/4 =2/4 =1/2

a/b +c/d =ad+bc/bd 

Now we will move towards subtraction of natural numbers

3/4 - 1/4 = 3-1/4 =2/4 = 12

a/b - c/d= ad-bc/bd

Now let us see the multiplication of rational numbers

2/3 × 2/5 =4/15

a/b .c/d =ac/bd

Finally we are here with division of rational numbers

½ ÷1/4 =1/2×4/1 =2

A recurring decimal is one which has one or more digits after the decimal point and they repeat endlessly in a specific pattern. Any recurring decimal can be expressed as a fraction. Hence it is a rational number. The pattern of rational numbers which is repeated is denoted by a line above the pattern called “bar” or “vinculum”.

Example

1/3 = 0.333…. or 0.3

-2/3 = -0.666…..

A terminating decimal is one which has limited number of digits after the decimal place. Any terminating decimal can be expressed as a fraction. Hence it is a rational number.

Example

5/8 = 0.625

3/4 = 0.75

So here we end with rational numbers. I hope that this article will help you in solving problems related to rational numbers and if you want to learn about inequalities and also on Proportions then refer Internet.

Addition and Subtraction in Grade VI

Hello friends! We are back again with an interesting topic of mathematics. Today’s topic is most basic topic of mathematics. Today we will learn addition and subtraction for a grade VI of CBSE student.
Addition and subtraction are operations that are performed on numbers.

We will start with Addition. If we talk in general, addition is the operation to total something. Here by total we mean to join two or more numbers. The symbol of addition is “+”.

Example:
Suppose we have two numbers “X” and “Y” and “R” is the total after the addition operation.
                        X + Y = R
This can be described in words as: “ X plus Y equals to R ”.
Now let’s see this with a number example:
                                     125 + 150 = 150 + 125 = 275
                                    98 + 56 = 56 + 98 =  151
                                    76 + 67 = 67 + 76 = 143
Do you notice something in above examples? No! See if we change the order of numbers then the result will remain the same. It will not change.
                                    101 + 30.5 + 56.75 = 188.25
                                    98.6 + 65.25 = 163.85
                                    72.5 + 25.5 + 99.75  = 197.75

We can add any number by a simple process given below:
Step 1: arrange the digits of the number in column form.
Step 2: Now add it as the single digit number starting from right to left. If carry is generated then count it on the column left to the current column and put the result in the last row.
Example:
                        Add 123.25+345.50+789.0
               1 2 3 . 2 5
            +3 4 5 . 5 0
            +7 8 9 . 0 0
        ------------
           1 2 5 7 . 7 5


Now let’s move on to subtraction. Subtraction is the operation to taking out something. The symbol of subtraction is minus(–).
Example:
Suppose we have two numbers “X” and “Y” and “R” is the result after the subtraction operation. So the subtraction operation is defined as:

                        X - Y = R
If it is to be described in words then “ X minus Y equals to R ”.

Now let’s see this with a number example:
                                    49 - 15 = 34 but 15 – 49 = -34
                                    168 – 59 = 109 but 59 – 168 = -109
Do you notice something in above examples? No! Subtraction operation is not same as addition. If we change the order of number then the result will be changed too. In subtraction minus sign is important so the order of numbers is important.

                                    150 - 35 - 47= 68
                                    94.70 – 36.55 = 58.15
                                    191.60 – 13.5 – 50.75 = 127.35

We can subtract any number by a simple process given below:
Step 1: arrange the digits of the number in column form.
Step 2: Now subtract it as the single digit number starting from right to left. If the above number is smaller than the number down then borrow from the number in left column.

Example:
            Subtract 987.55-342.25
              9 8 7 . 5 5
            - 3 4 2 . 2 5
          -------------------
              6 4 5 . 3 0


The addition and subtraction operations are very easy. You just have to spend little time with them and you will find that you become very good in it.

In next post we will talk on Solve Rational Numbers Problem. For more information on inequality solver, you can visit our website

Properties of Numbers in Grade VI

Hello friends, in this session we are going to learn about the Commutative, associative, Distributive Property for grade VI of west bengal board of primary education. These properties are formally introduced in the section algebraic expressions of  algebra classes but they are taught in many elementary schools. We probably already know many of these properties. For example the associative property basically states that we can arrange in any order: (3 + 7) +1 is the same as 3+ (1+ 7). Now we will discuss each property one by one.
In associative property the indication of the grouping of numbers does not matter. Grouping means where the parentheses are placed. In associative property, it involves 3 or more numbers. The terms which are in parenthesis indicates one unit group. That means numbers are 'associated' together. On other hand in multiplication, the product is always the same as the addition grouping. Remember one thing, the groupings in the brackets are always solved first. Now I am taking examples for both that is addition and multiplication.
Associative property of addition states that when we change the grouping of the number the sum does not change. For example (3 + 6) + 4 = 13 or 3 + (6 + 4) = 13, (8 + 3) + 4 = 15 or 8 + (3 + 4) = 15. So the sum remains the same. Associative property of Multiplication is same as addition when we change the groupings of numbers, the product remains the same. For example (4 x 2) x 6 = 24 or 3 x (2 x 4) = 24.
Now I am going to the next property that is commutative property. Basically Commutative property is the basic property of numbers. The meaning of word commute is exchanged or swapped over.  It states that the numbers can be added or multiplied in any order that is when we add any two numbers by changing the order of addends does not change the sum. That is x + y = y + x.  Similarly commutative property of multiplication states that when we change the order of factors that will not affect the product. That is, x × y = y × x. for example 3 + 4 = 4 + 3. Whether we add 3 to 4 or 4 to 3 we get same result that is 7. This is for addition and same for multiplication that is 3 x 4=4 x 3=12 the product is the same.
Lastly the distributive property in which we can multiply the number by each of the values separately and then add all together. So the distributive property states that the product and sum of a number is equal to the sum of the individual products of addends and the number. This property allows us to remove the brackets in the expression and multiply the value outside the brackets with each of the terms which are in the brackets. For example x(y + z) = xy + xz.4 (2 + 1) = 4 × 2 + 4 × 1
 LHS: 4(2 + 1) = 4(3) = 12
Consider RHS: 4 × 2 + 4 × 1 = 8 + 4 = 12, LHS = RHS and to know more about it click here.
From the above discussion I hope that it would be helpful to you to understand commutative, associative and distributive property and to get information about other Grade VI topics like Algebraic Expressions and grade VII topic like Properties of lines you can refer text books and Internet.

Rational Numbers in Grade VI

Hello Friends, in today's session we all are going to discuss about some of the most interesting topics of mathematics, rational numbers and numbers which are usually studied in grade VI of ICSE. Here I am going to tell you the best way of understanding these topics.
Now we will first start with rational numbers:
Rational numbers are those numbers which can be represented as fraction means it has both integer numerator and denominator or which are in the form of a/b where a and b are integers and b can’t be zero. Let’s take some examples of rational numbers:
1.    5 is a rational number because it has 1 in its denominator and can be written as 5/1.
2.    2/3 is also a rational number.
Rational numbers can be added, subtracted, multiplied, divided. These operations are bit typical and given below are some rules to follow for these operations:
Let’s see some operations of rational numbers:
1.    Addition of rational numbers:
While adding two rational numbers, we must take care that the denominators of the rational numbers to be added must be same. If the denominators are not same then find the LCM of the denominators and put each one in its equivalent form. Then simply add the numerators.
                     p/q + r/q = (p + r)/q
2.    Subtraction of rational numbers:
While subtracting two rational numbers, we must take care that the denominators of the rational numbers to be subtracted must be same. If the denominators are not same then find the LCM of the denominators and put each one in its equivalent form. Then simply subtract the numerators.
                     p/q - r/q = (p - r)/q
3.    Multiplication of rational numbers:
While multiplying two rational numbers simply multiply the numerators together and then multiply the denominator together and simplify them.
                     p/q x r/s = (p x r)/(q x s)

4.    Division of rational numbers:
While dividing the rational numbers simply take reciprocal of the second fraction and multiply both the rational numbers together.
           p/q ÷ r/s = p/q x s/r = (p x s)/(q x r)
 Now let’s move to the next topic i.e. numbers:
 Numbers can be defined as the unit which is used for counting the objects. Numbers can be categorized in many forms like:
1.    Counting numbers = 1, 2, 3, 4, ……
2.    Whole numbers = 0, 1, 2, 3, 4, …..
3.    Integers = ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...
4.    Rational numbers = a/b, where ‘a’ and ‘b’ are integer, b is not zero like 2/5.
5.    Irrational numbers = Numbers which are not rational like 3.1421.
6.    Real numbers = All rational and irrational numbers.
7.    Complex numbers = They are combination of real and imaginary numbers like 3 + 2i.
8.    Imaginary numbers = Squaring these numbers gives negative real numbers like I = sqrt(-1).
This is all about the rational numbers and numbers and if anybody wants to go in more detailed illustration of these topics, they can refer to internet and text books.

In next post we will talk on Properties of Numbers in Grade VI. For more information on physics help, you can visit our website

Rational Numbers in Grade VI

Hello Friends, in today's session we all are going to discuss about some of the most interesting topics of mathematics, rational numbers and numbers which are usually studied in VI grade of cbse board. Here I am going to tell you the best way of understanding these topics.
Now we will first start with rational numbers:
Rational numbers are those numbers which can be represented as fraction means it has both integer numerator and denominator or which are in the form of a/b where a and b are integers and b can’t be zero. Let’s take some examples of rational numbers:
1.    5 is a rational number because it has 1 in its denominator and can be written as 5/1.
2.    2/3 is also a rational number.
Rational numbers can be added, subtracted, multiplied, divided. These operations are bit typical and given below are some rules to follow for these operations:
Let’s see some operations on How to simplify Rational Numbers:
1.    Addition of rational numbers:
While adding two rational numbers, we must take care that the denominators of the rational numbers to be added must be same. If the denominators are not same then find the LCM of the denominators and put each one in its equivalent form. Then simply add the numerators.
                     p/q + r/q = (p + r)/q
2.    Subtraction of rational numbers:
While subtracting two rational numbers, we must take care that the denominators of the rational numbers to be subtracted must be same. If the denominators are not same then find the LCM of the denominators and put each one in its equivalent form. Then simply subtract the numerators.
                     p/q - r/q = (p - r)/q
3.    Multiplication of rational numbers:
While multiplying two rational numbers simply multiply the numerators together and then multiply the denominator together and simplify them.
                     p/q x r/s = (p x r)/(q x s)

4.    Division of rational numbers:
While dividing the rational numbers simply take reciprocal of the second fraction and multiply both the rational numbers together.
           p/q ÷ r/s = p/q x s/r = (p x s)/(q x r)
 Now let’s move to the next topic i.e. numbers:
 Numbers can be defined as the unit which is used for counting the objects. Numbers can be categorized in many forms like:
1.    Counting numbers = 1, 2, 3, 4, ……
2.    Whole numbers = 0, 1, 2, 3, 4, …..
3.    Integers = ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ...
4.    Rational numbers = a/b, where ‘a’ and ‘b’ are integer, b is not zero like 2/5.
5.    Irrational numbers = Numbers which are not rational like 3.1421.
6.    Real numbers = All rational and irrational numbers.
7.    Complex numbers = They are combination of real and imaginary numbers like 3 + 2i.
8.    Imaginary numbers = Squaring these numbers gives negative real numbers like I = sqrt(-1). Read more for full explanation,
This is all about the rational numbers and numbers, If anybody wants to know How to solve mathematical Expressions and also wants to Solve Rational Numbers Problem then they can refer to Internet and text books.

Math Blogs on Grade VI

Hello friends, in this session we are going to learn about the some of the interesting part of mathematics related to different topics. This article will include that how to find factors and multiples of the number or variable and expressions. We will also go through by greatest common factors (GCF), so just talking about the level of this, the session is for grade VI of gujarat state education board.
First talking about factors that any of the number is made by multiplication of two or more numbers. All the numbers that are multiplied to form that number are called as the factors of that number. So, factors in the mathematical definition are the divisor of any number that evenly divides the number without leaving any remainder. Factor is also a whole number that divides any number into a whole number. In math questions We use the process of factorization for making factors. Factorization is the process of breaking any number in to its factors. All the numbers have a universal factor as one and each of the number can be divided by themselves and produce one so number itself is also a factor and To know more about factors refer this.For example: number 32 can be divided in to 2 and 16, and again 16 can be divided into 2⁴ (2 * 2 * 2 * 2), 24 have factors as 1, 2, 3, 4, 6, 8, 12, and 24. Any of the even numbers has a factor two; any number ending with 5 has a factor 5 also. Any number ending with zero (except zero itself) has always at least two factors as 2 and 5. Multiple of a number is a number that on multiplying with any whole number gives another number. For example 12 has factors 3 and 4, so 12 is a multiple of 3. Another example can be 5, so the multiples of 5 are 5, 10, 15, 20, 25, 30, 35, 40, etc. Factors and multiples are the similar words as 12 have factors 3 and 4, and the multiple of 3 and 4 is 12. To find a multiple of a whole number we have to take the product of counting number with that whole number. For example to find the multiples of 7 we have to multiply 7 with 1, 2, 3, 4, 5 and so on thus the multiples are 7, 14, 21, 28, 35, 42, 49, 56, and so on. The list for multiples for any number is endless.
Now talking about greatest common factor, the GCF of a number is the largest numbers that divides evenly into all of the numbers. For example the GCF of some numbers:
12           =             1, 2, 3, 4, 6, 12
16           =             1, 2, 4, 8, 16
24           =             1, 2, 3, 4, 6, 12, 24
So the greatest common factor in these numbers is 4 (underlined number in factors). So a GCF is a number that is also a common factor for all the given numbers. It is just a greatest number in the all common factors.

This is all about the Factors and multiples and if anyone wants to know about How to tackle Decimals and Percentage problems?  and Percentages in Grade VI then they can refer to Internet and text books for understanding it more precisely.
 

Prime Factorization in Grade VI

Hello friends, in this session we are going to learn about some of the interesting topics of grade VI. This article will include that what is prime factorization and prime factor and how to find prime factors for any number. We will also go through with proper examples related to prime factorization in grade VI which comes under west bengal board of higher secondary education. Prime factors in the grade VI are so simple and there is only some basic operation and math question within the prime factorization.
First talking about prime numbers, the prime numbers are the type of numbers which can’t be divided by any other number except 1 and itself and also it is a whole number. For example some of the prime numbers can be given as 2, 3, 5, 7, 11, 13, 17, 19, and many more. We know that the factors are the type of whole numbers that are the divisor of any number and evenly divides a whole number without leaving any remainder. For example 24 have factors as 1, 2, 3, 4, 6, 8, 12, and 24. Talking about prime factors, the prime factors are the numbers which on multiplying with a certain number gives another certain number.  These are the factors which are also a prime number. It is also true that any of the positive integers has only one prime factor. For example the prime factor of a number 12 can be given as: 12 =  4 * 3 and to know more about it click here.
Now in the factors 4 is not a prime number so again finding 4 as prime number we write it as 2 * 2, so as per prime factors we can write it as 2² * 3. To find the prime factors of any number we have to perform the process of prime factorization. Prime factorization is a process which is used to find the prime factors of any certain number. It is the process of finding some prime number as factor of number which on multiplication gives that number. It is the process of breaking any number into its prime factors. It lists all the prime number factors for a given number. The process does not include one as prime factor of any number but includes all other numbers, for example 108 = 2 * 2 * 3 * 3 * 3 and has its prime factor as 2 and 3 but we need to write all the copies of 2 and 3 for the prime factorization. The process of prime factorization includes only the prime numbers, for example we can’t write 4 as prime factor, we have to write it as 2 * 2.
Just for example of prime factorization:
1050       =             2 * 525
1050       =             2 * 3 * 175
1050       =             2 * 3 * 7 * 25
1050       =             2 * 3 * 7 * 5 * 5
1050       =             2 * 3 * 7 * 5²
So the prime factors of 1050 are 2, 3, 5, 5, and 7.
Taking another example for 1092:
1092 = 2 * 2 * 3 * 7 * 13
                =             2² * 3 * 7 * 13.

This is all about the Prime factorization,if still it is not clear to anyone they can refer to internet and text books for understanding it more precisely. You can also refer grade V blog for further reading on it . Read more math topics of different grades such as Understand Properties of Circles in next session.