# Prime factorization of 3600 using exponents?

##### 2 Answers

Mar 7, 2018

#### Explanation:

When doing prime factorization, I like to start with a math fact that I know. For this one, since I can see 36 followed by 2 0s (meaning it's multiplied by 100), I'll start there:

Neither 36 nor 100 are prime, so let's break those down:

Still haven't gotten to primes yet:

This is a long chain of numbers. The exponents will help clean this up:

Mar 7, 2018

#### Explanation:

Now,

And,

Thus,