1. The problem statement, all variables and given/known data A positive integer a is called a square if a=n^2 for some n in Z. Show that the integer a>1 is a square iff every exponent in its prime factorization is even. 2. Relevant equations 3. The attempt at a solution Well, I know a=p1^a1p2^a2....pn^a^n is the definition of prime factorization. We let p=2n because any even number squared is an even numbers. Not sure how to continue.