Question

Find the smallest numberby which 2860 must be multipied so that the product becomes a perfect cube.
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Answer 1

Answer:

Step-by-step explanation:

Prime factorising 2560, we get,

2560=2  

9

×5.

We know, a perfect cube has multiples of 3 as powers of prime factors.

Here, number of 2's is 9 and number of 5's is 1.

So we need to multiply another 5  

2

 in the factorization to make 2560 a perfect cube.

Hence, the smallest number by which 2560 must be multiplied to obtain a perfect cube is 5  

2

=25.

Therefore, option B is correct.

Answer 2

6 I think

Hope it helps you