# Prime Factorization

How to find the prime factorization of a number: example and its solution.

## Example 1

Split 60 into a pair of its factors: 6 and 10.

Split 6 into a pair of its factors: 2 and 3.

Split 10 into a pair of its factors: 2 and 5.

Split the numbers like this

until there are only prime numbers.

2, 3, and 5 are all prime factors.

So stop splitting the factors.

So 60 = 2^{2}⋅3⋅5.