what is the smallest no by which 448 should multiplied so that the product is a perfect cube. show me the method. the smallest no to be multiplied is 7 or 49.

please send me the answer soon as possible

The prime factorisation of 448 is :

448 = 2×2×2×2×2×2×7Since the prime factor 7 does not form a triplet, so 448 is not a perfect cube.So, in order to make 448 a perfect cube, the given number should be multiplied by 7×7 or 49.so, 448 × 49 = 2×2×2×2×2×2×7×7×7so, 219523 = 2×2×2×2×2×2×7×7×7 3 = 2×2×7 = 28

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the factors of 448 are :

448 = 2*2*2*2*2*2*7

Since 7 is not in pair the smallest number by which 448 should be multiplied so that the product is perfect cube is 7

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the factors of 448 are :

448 = 2*2*2*2*2*2*7

Since 7 is not in triplet the smallest number by which 448 should be multiplied so that the product is perfect cube is 7 X 7 i.e. 49 Ans.

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