Question

What is the prime factorization of 125?

Answer 1

The prime factorization of `125` is `5^3`.

Explanation:

To find the prime factorization, divide `125` by only prime numbers. Remember that prime numbers are whole numbers greater than `1` that are only evenly divisible by themselves and `1`.
{`2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53`, etc.}

Since `125` ends in `5`, it is evenly divisible by `5`, which is a prime number. (How convenient!)

`125 -: 5 = 25`

`25` now has to be factored into its prime factors.

`25 = 5 * 5`

So, the prime factorization of `125` is

`125 = 5*5*5 = 5 ^3`