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What is the smallest number that must be multiplied with 375875 to make it a perfect cube |
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Answer» actorising 100, we get, 100=2×2×5×5 =2 2 ×5 2 . We know, a perfect CUBE has multiples of 3 as powers of prime factors. Here, number of 2's is 2 and number of 5's is 2. So we need to multiply another 2 and 5 in the factorization to make 100 a perfect cube. Hence, the smallest number by which 100 must be MULTIPLIED to obtain a perfect cube is 2×5=10. |
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