Posted by m on .
The statement is If a number is divisible by 2 and by 3, then it is divisible by 6 and vice versa. Is this statement true? Give an example or counterexample.
I believe it is true but am stuck on the counterexample/example.

math 
Reiny,
True
e.g.
24 = 2x3x4, shows it is divisible by 2 and by 3
= 6x4 shows it is divisible by 6
There is no counterexample, since the statement is always true.