Question

Suppose 6 is a factor of ab, where a and b are natural numbers. Make a valid argument to explain why each assertion is true or provide a counterexample to show that an assertion is false
a. 6 must be a factor of a or of b
b. 3 must be a factor of a or of b
c. 3 must be a factor of a and of b

please help and show work

Answer 1

Example
if ab=6
and a=3
b=2

a. 6 must be factor of 3 or 2 FALSE
b. 3 must be a factor of 3 OR 2 TRUE
c. 3 must be a factor of 3 AND 2 FALSE



B is true