Question

find the smallest number by which 1,48,176 must be divided to make it a perfect cube. with steps ​

Answer 1

Answer:

Answer

Prime factorising 704, we get,

704=2×2×2×2×2×2×11

=2

6

×11

1

.

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

Here, number of 2's is 6 and number of 11's is 1.

So we need to divide 11 from the factorization to make 704 a perfect cube.

Hence, the smallest number by which 704 must be divided to obtain a perfect cube is 11.

Step-by-step explanation:

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