Question

Prove that for every pair of integers a and b, there is an integer that both a and b divide.

Answer 1

a*b

Answer 2

What do you think is ab?

Answer 3

The product of a and b gives you an integer which is divisible by both a and b.

Answer 4

Thank you. I will try to find some stuff in my textbook to reference, too. The way the question was written was just tricky.

Answer 5

Yw :) The idea here was to think in terms of variables because we needed a general proof.