1. The problem statement, all variables and given/known data Prove the following: If the integer n is divisible by 3 then n^3 is divisible by 3. 2. Relevant equations Direct Proof 3. The attempt at a solution n = 3m n^2 = 9m^2 n^2 = 3(3m^2) I think the proof is done at this point because the 3 factors out but I also did this: n^2 = 9m^2 (n^2)/9 = m^2 (n/3)(n/3) = (m)(m) which also implies n is divisible by 3 since integer x integer = integer My professor is kind of harsh on proofs so Im not sure if there are intermediate steps I'm missing. Thanks!