Hello Guys, can you check my proof.
Problem statement: Let n be an integer such that n2 is even. Prove that n2 is divisible by 4.
Proof by contradiction:
Suppose n2 is not divisible by 4, thus n is odd. Such that n=2p+1, and n2=4p2+4p+1. Factoring out 2 we have 2(2p2+2p+.5) which is even, and divisible by 4. Thus we have a contradiction. End of proof.