Question

5find the smallest number which we
get
by multiplying it with 100 to

get perfect. cube​

Answer 1

Answer:

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.

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