find the smallest number by which each of the following numbers must be divided to obtain a perfect cube 192
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Prime factorization of 192 is: 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 23 × 23 × 3 Here, 3 is the smallest number by which 192 is divided to make it a perfect cube, i.e., 192 ÷ 3 = 64 which is a perfect cube. Thus, 3 is the required smallest number.
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