1. The problem statement, all variables and given/known data Hi, I have been trying to prove one of the corollaries of the Bezout's Identity in the general form.Unfortunately,I can't figure it out by myself.I hope someone could solve the problem. If A1,.........,Ar are all factors of m and (Ai,Aj) = 1 for all i =/= j,then A1A2.......Ar is a factor of m The writer is asking for a proof using MI on the number of pairs (and associativity to write a product of several intergers as a product of 2 integers, e.g. abcd = (abc)d.However,I am welcome to any different ways of approach. 2. Relevant equations Bezout's identity ax + by = 1 3. The attempt at a solution I really have no idea on this,and my work was a mess,so I am not going to post it.