# How do you find all the factors of 28?

Dec 15, 2016

2,14,4,7,1,28

#### Explanation:

Find biggest and smallest factor
Your biggest factor is the number itself, $28$. With the biggest number, you also have the smallest factor, $1$.

For the rest of the factors;
Divide the number by $2$. $\frac{28}{2} = 14$. Hence you should be looking for factors no bigger than $14$.

You already have $14$ and $2$.

Find factors of smaller factors
What is a factor of $14$?

$7$!

If $7$ is a factor of $14$, it should be a factor of $28$. If so, what times $7$ becomes $28$?

4!

Every factor has its pair
If you've found a factor, ie: 2, It should have its pair. Just divide the number by 2.
If a factor is 7, divide 28 by 7 and you get 4.