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    Prime Factorization : Proof - Square-Free Integers

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    Show that every positive integer n can be written in the form n = ab where a is square-free and b is a square. Show that b is thi the largest square dividing n. (A square-free integer is an integer that is not divisible by any square > 1).

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    This solution provides a detailed step by step explanation of the given number theory problem.