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31 October, 13:20

When p is multiplied by 585, the product 585p is a perfect square. find the smallest value of p, where p>0

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  1. 31 October, 13:47
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    585 prime factories is 3^2x5x13. To make a perfect square, multiply this number to make each factor into an even power. 5x13 works because the prime factorization is now all to the power of 2. The answer is 65.
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