30 + 12 rewritten using the distributive property and the GCF

Question

Which of the following shows 30 + 12 rewritten using the distributive property and the GCF of the addends?

3(10 + 12)
6(10 + 6)
6(5 + 2)
3(5 + 2)

Answer 1

Written as the product of prime factors:

     30    is    2*3*5

     12    is    2*2*3

 

The Greatest Common Factor (GCF) is 2*3=6

 

So, 30 + 12 = 6(5 + 2)