Apply the distributive property to factor out the greatest common factor. 12+80=?

Answer 1

First, write out the prime factorization of both 12 and 80: 12 = 2 x 2 x 3 and 80 = 2 x 2 x 2 x 2 x 5. Now collect only the prime numbers that each of them share in their factorizations, which are only two 2's. Thus, the greatest common factor between 12 and 80 is 2 x 2 = 4.

Now we factor out (or divide out) 4 from each term of the sum, now we have: 12 + 80 = 4*3 + 4*20.

Since the 4 is shared among the two terms, we factor it out and write what is left over inside the parenthesis: 4(3 + 20).

So 12 +80 = 4(3 + 20) = 92