Question

what is the smallest number that must be multiplied with 375875 to make it a perfect cube ​

Answer 1

Prime factorising 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.

Answer 2

Answer:

2

Step-by-step explanation:

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