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.