# How do you factor 5p + 15q +10r ?

Jun 19, 2016

#### Answer:

$5 \left(p + 3 q + 2 r\right)$

#### Explanation:

1) Find the greatest common factor (GCF) of the terms $5 p$, $15 q$, and $10 r$ and you should get that it is 5.

2) Divide all of the terms by 5. And you should get:
$5 \left(p + 3 q + 2 r\right)$

Notice that through the Distributive Property, you can actually get back to the original expression.
$5 \left(p\right) + 5 \left(3 q\right) + 5 \left(2 r\right) = 5 p + 15 q + 10 r$