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## Homework Statement

Let n be fixed positive integer, is it true regardless of n?

(a) If n is divisible by 6, then n

^{2}is divisible by 6.

## Homework Equations

## The Attempt at a Solution

For (a) so far I have n=6k and n

^{2}=6k, however I am unsure of where exactly I have to go from there?

I think this statement is true because I tested numbers in place of n so I think it is true, but I know that is not enough to determine if it really is true and I am having trouble figuring out the next step.

Thank you.