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What is the smallest number by which 392...

What is the smallest number by which 392 must be multiplied so that the product is a perfect cube?

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Given that:
A number `=392`
The prime factor of `392 = 2xx2xx2xx7xx7`
Since, `7` does not occur in a triplet. So 392 is not a perfect cube.
Hence, `7` is the smallest number by which `392` must be multiplied so that the product is perfect cube.
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