SOLUTION: Given:n squared is even prove: n squared is divisible by 4

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Question 267355: Given:n squared is even
prove: n squared is divisible by 4
Answer by Alan3354(69443) About Me  (Show Source):
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Given:n squared is even
prove: n squared is divisible by 4
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Odd numbers squared are odd.
If n^2 is even, it's the square of an even number.
Any even number is 2 times some other integer, say m.
%282m%29%5E2+=+4m%5E2
4m^2 is divisible by 4