Question

12345678910 Using the greatest common factor for the terms, how can you write 80 + 32 as a product?

Answer 1

Find the GCF of 80 and 32.  

I'd start by identifying possible integer factors of both 80 and 32:
80:  {1,2,4,5,8,10,16,20, 40, 80}

32:  {1, 2,4, 8, 16, 32}

Working backwards, we see that the first factor that is represented in both lists is 16.  Is 80 evenly divisible by 16?  Yes; the quotient is 5.
                  Is 32 evenly divisible by 16?  Yes; the quotient is 2.

You could writet 80 + 32 as 16(5 + 2).  This is a product equal to 112, just as 80 + 32 = 112.