1. The problem statement, all variables and given/known data Let n be an integer. Prove that if n^3 is even, then n is even. 2. Relevant equations 3. The attempt at a solution Suppose n is even. That is n=2m, for some mεZ. Then, n^3=(2m)^3=8m^3=2(4m^3). Since 4m^3 is an integer, n^3 will be even. Now, i proved that if n is even, then n^3 is even. So would this be a valid proof in this context?