4. Is 292 a perfect cube? If not find the
smallest natural number by which it must be
multiplied so that the product is a perfect
cube
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Explanation:
292 = 2 x 2 x 73 , which doesn't have triplet of any prime factors, Hence, to make it perfect cube, we must make the the prime factors to form triplets,. => Hence, it should be multiplied by 2 x 73 x 73 = 5329 x 2 = 10658
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