Prime Factorization at Algebra Den

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Prime Factorization

Facts About Factors Prime Factorization Prime Factors Common Factors

Before you learn What is Prime Factorization ?
you must understand What is Factorization ?

Factorization is a method of expressing a given number as a product of its' factors.
For example = 30 can be expressed as a product of 2 & 15 or 3 & 10 or 5 & 6.
and we can say that given number 30 has been factorized.

Similarly, Prime Factorization is a method of expressing a given number as a product of its' prime factors.
In other words, a factorization in which every factor is a prime factor is called Prime Factorization of a given number.

Example 1 = Find Prime Factorization of given number 40 ?
Answer = For Prime Factorization of given number 40, we will keep on dividing the given number 40 with prime numbers until we get the remainder as 1.
The process is shown as under :-
2 | 40
2 | 20
2 | 10
5 | 5
| 1
So, The Prime Factorization of given number 40 = 2 × 2 × 2 × 5.