Let n be a natural number with unique prime factorization $p^m$... $q^k$ . Show that n can be written as a square if and only if all (m, ...k) are even
Prime factorization of square numbers
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elementary-number-theory
prime-numbers
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6Don't you mean "can be written as a square of a natural number"? What does it mean that a natural number "can be written as a fraction"? – 2011-02-23