# What are the factors of 90?

##### 3 Answers

See a solution process below:

#### Explanation:

First, because 90 is an even number we can factor out a 2:

Because 45 ends in a 5 it is divisible by 5 so we can factor out a 5:

We know 9 is divisible by 3 so we can factor our a 3:

or

#### Explanation:

When dealing with factors, you can list all the factors, or write a number as the product of the prime factors.

If you know the product of the prime factors you can use those to determine all the other factors.

Listing the factors using these prime factors can be done as follows:

Product of

Product of

Product of

The factors work in pairs, a big one with a small one.

Half of the factors are smaller than

In order they are:

#### Explanation:

One way is to find pairs of number that multiply to

and the we repeat

so factors