<PRE><B>Question 1152651</B>
Consider the factors of 1125, looking for the largest perfect square which is a factor
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1,3,5,9,15,25,45,75,125,225,375,1125
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We see that 225 * 5 = 1125, therefore
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1125x = 5 * 225 * x
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if x = 5, we know that 1125 * 5 = 5625 and square root(5625) = 75, therefore
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75^2 = 5625 is a perfect square
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We know that 1125 * 1 is not a perfect square so
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I submit that x = 5 is the smallest whole number when multiplied by 1125 yields a perfect square
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I will leave it to you to check 2, 3, 4
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