By what smallest number should 288 be multiplied so that the resulting number is a perfect cube. Also, find the cube root of the resulting number
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We observe that if 288 is multiplied by (2 x 3), then its prime factors will exist in triples. Thus, the required smallest number by which 288 be multiplied to make it a perfect cube i: (2 x 3), i.e. 6.
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