Write a 3-digit number that is divisible by 2 and 3 but not 6. Explain why you're correct.

That is not possible.

Step-by-step explanation:

2 x 3 = 6; 6 is a multiple of the two.

"If something to be divisible by 6, then it must be divisible by 2 and 3."

That sentence is a biconditional statement meaning it works either which way.

For example:

"If it is divisible by 2 and 3, then it must be divisible by 6."