Find the smallest number by which 256 must be multiplied to obtain a perfect cube.
Mathematics grade 8 "CUBE AND CUBE ROOTS"
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256 × 2 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) = 512 is a perfect cube. Hence, the smallest natural number by which 256 should be multiplied to make it a perfect cube is 2.
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Number of 2s is 8 so 256 needs to be multiplied by 2 to become a perfect cube. Number of 2s is 3 and that of 3s is 2, so 72 needs to be multiplied by 3 to become a perfect cube.
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