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

1 Answer
Jun 19, 2016

#5(p + 3q + 2r)#

Explanation:

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

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

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