Question

A student wrote, “if 2 and 8 are factors of a number, then 16 is also a factor of that number.” Is the student correct? Explain your answer.

Answer 1

No. An example might be 8. 2 and 8 are its factors, but not 16.

Answer 2

The answer is:

No, the student is not correct.

Work/explanation:

If 2 and 8 are factors of a number, then 16 is also a factor of that number.

This statement is not always true. Just because a number is divisible by 2 and 8 doesn't mean it is divisible by 16 as well.

I will use 24 as an example.

24 is divisible by 2 and 8, but it is not divisible by 16.