Given Problem If a c and b c must ab divide c Justify your

Given Problem:

If a | c and b | c, must ab divide c? Justify your answer.

1. If the answer is yes, what must you do to justify your answer?

2. If the answer is no, what must you do to justify your answer?

3. Solve the problem.

Solution

Yes, because if \"c\" divide \"a\" and \"b\" then \"c\" is a common factor, therefore even multiply \"a\" or \"b\" by m, \"c\" will still be common divisor