Find the smallest numbers by which each of the following numbers must be multiplied to obtain a perfect cube
1) 243
2) 256
3) 72
4) 675
5) 100
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Answer:
256
Step-by-step explanation:
243 × 3 = (3 × 3 × 3) × (3 × 3 × 3) = 729 is a perfect cube. Hence, the smallest natural number by which 243 should be multiplied to make it a perfect cube is 3. 256 × 2 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) = 512 is a perfect cube.
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