What is the smallest number by which 392 may be divided so that the quotient is a perfect cube?
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Answered by
1
Answer:
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Step-by-step explanation:
Prime factors of 392:
392 = 2 2 2 7 7
Clearly, to make it a perfect cube, it must be divided by (7 7) i.e. 49
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Answered by
1
Answer:
7 is your answer
Step-by-step explanation:
In that case 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744 which is a perfect cube. Hence the smallest natural number by which 392 should be multiplied to make a perfect cube is 7.
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