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Prime Factorization

What is the prime factorization?

Definition of prime factorization in math

Prime Factorization, definition:

Prime Factorization is a representation of a number as the product of its prime factors.

The prime factorization of 6

Example: What are the prime factors of 6?

We write 6 as the product of 2 and 3:

6 = 2 * 3

Both 2 and 3 are prime numbers.

See Prime numbers 1 through 20.

We have got the product of the two prime numbers. This means that the prime factorization of 6 is complete.

The prime factorization of 12

Example: What are the prime factors of 12?

We write 12 as the product of 3 and 4:

12 = 3 * 4

3 is a prime number.

But 4 is not a prime number.

4 can be written as the product of 2 and 2:

4 = 2 * 2

2 is a prime number.

Thus, the number 12 can be written as

12 = 2 * 2 * 3 =
22 * 3

Here all the factors of 12 are prime numbers.

The prime factorization of 12 is complete.