# How do I get my question reopened?

It seems people here are in a hurry to get a question closed as soon as it seems to deal with the same topic. I wonder how all 5 editors who voted to close Prove that every positive integer $n$ is a unique product of a square and a squarefree number missed the fact that I am asking for a proof by contradiction whereas the question that has been marked a duplicate of doesn't require proof by contradiction.

My question isn't answered yet and discussion on my question has stopped because it is closed. Is there a way I can reopen it?

• Up again! Here! – user21436 May 2 '12 at 18:14
• Great! Thanks @KannappanSampath. – Lone Learner May 2 '12 at 18:27

Note that your question was reopened not because it asks for a proof by contradiction but, rather, because it asks for a proof using only gcds (vs. primes in the proposed duplicate). This is a proper distinction since GCD domains (domains where gcds exist) are more general than UFDs (domains with unique factorization into atoms = irreducibles). For example, there are GCD domains with no atoms, hence no primes, e.g. the ring of all algebraic integers, which has no atoms since every element factors $\rm\:a = \sqrt{a}^{\:\!2}.$