(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Homework Help: Abstract prime factorization proof

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