# How do you find all factors of 36?

Dec 30, 2016

#### Answer:

factors of ""36:{1,2,3,4,6,9,12,36}

#### Explanation:

Factors of a number are numbers that divide exactly into that number. So the factors of $\text{ "36" }$are the numbers that divide exactly into it.

One way is to find what pairs of numbers multiply to give $\text{ "36" }$

$\textcolor{red}{1 \times 36} = 36$

so $\text{ "1" }$&$\text{ "36" }$are factors.

$\textcolor{red}{2 \times 18} = 36$

$\textcolor{red}{3 \times 12} = 36$

$\textcolor{red}{4 \times 9} = 36$

$\textcolor{red}{6 \times 6} = 36$

There are no more possible pairs so we have all the factors in question

factors of ""36:{1,2,3,4,6,9,12,36}