find out that smallest number which when multiplied by 1352will make the product a perfect cube. please give solution
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Thus, 3 is the required smallest number. (v) Prime factorization of 704 is: 704 = 2 × 2 × 2 × 2 × 2 × 2 × 11 = 23 × 23 × 11 Here, 11 is the smallest number by which 704 is divided to make it a perfect cube, i.e., 704 ÷ 11 = 64 which is a perfect cube. Thus, 11 is the required smallest number.
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1352= (2×2×2)×(13×13)13 is left ungrouped , so we multiply it by 13 to make it a perfect cube
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