# Prime Factorization of a Number

## Prime Factorization of a Number

Representation of a number as the product of its prime divisors.

In this type of decomposition, all of the factors must be prime numbers.

### Examples

Here are some decompositions of numbers into prime factors.

• $$24 = 2 × 2 × 2 × 3$$, because 2 and 3 are prime numbers.
• $$36 = 2^{2}$$ × $$3^{2}$$, because 2 and  3 are prime numbers.
• $$900 = 2^{2}× 3^{2} × 5^{2}$$, because 2, 3, and 5 are prime numbers.