Find the smallest number by which 10976 must be multiplied so that the product is a perfect cube. Also, find the the cube root of the resulting number so obtained
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MATRK AS BRAINLIST
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Answer: We know, a perfect cube has multiples of 3 as powers of prime factors. Here, number of 2's is 5 and number of 7's is 3. So we need to multiply another 2 to the factorization to make 10976 a perfect cube. Hence, the smallest number by which 10976 must be multiplied to obtain a perfect cube is 2.
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