Wednesday 18 January 2012

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.

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