Question

Can someone please help Bigmamma explain the question below to my daughter. I grew up on basic Math.

Please!

Question-
Tasha believes that she can rewrite the difference 120-36 as a product of the GCF of the two numbers and another difference. Is she correct? Explain?

Answer 1

She is correct. Allow me to illustrate with an illustrative example:

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36 .

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120 .

The common factors are 1, 2, 3, 4, 6, and 12 .

The greatest one is 12 .

36 = 12 x 3

120 = 12 x 10

So (120 - 36) = (12 x 10) - (12 x 3) and that's 12 (10 - 3) .