# How do you factor 10x +15?

Apr 27, 2018

$5 \left(2 x + 3\right)$

#### Explanation:

To factor this, we first have to find the factors that both numbers have in common. Let's list out the factors of each number:
$10 : 1 , 2 , 5 , 10$

$15 : 1 , 3 , 5 , 15$

Now we need to find the largest factor that both have in common. That number is $5$.

If you divide $10$ by that number, you get $2$.

If you divide $15$ by that number, you get $3$.

So the factored form becomes:
$5 \left(2 x + 3\right)$

Hope this helps!