what is the smallest natural number by which 500 must multiplied so that the product becomes a perfect cube?
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The only factor that doesn't occur in a group of 3 is 2. So, we would add one more factor of 2 to get 2 * 2 * 2 * 5 * 5 * 5 = 1000 which happens to be 10 cubed. So, the answer to your question is 2
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