# Explain why the expression 13x+10 cannot be factored?

Dec 28, 2016

There are no common factors between the two terms $\textcolor{red}{13 x}$ and $\textcolor{b l u e}{10}$ - see explanation below.

#### Explanation:

First, we can try factoring the constants in each term:

13 is a prime number and therefore can only be factored to 1 and 13.

10 can be factored as (1 x 10) or (2 x 5).

Because there are no common factors other than $1$ the constants cannot be factored.

And, because there is no $x$ in the second term (10), we cannot factor an $x$ out of the two terms.

Therefore this expression cannot be factored.