Question

Find the smallest number which we get by multiplying it with 100 to get

perfect cube.

answer in detail.​

Answer 1

Answer:

Therefore 100 must be multiplied by 2 × 5 2\times5 2×5= 10 to make it a perfect cube.

Answer 2

Prime factorising 100, we get,

100=2×2x2x2x5

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.

100 must be multiplied by 2 × 5 2\times5 2×5= 10 to make it a perfect cube.