Question

by what number should be multiplied the number 3210 to make it perfect cube

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Answer 1

⭕ Answer⭕

Prime factorising 231525, we get,

231525=3×3×3×5×5×7×7×7

= 3^3 × 5^2 × 7^3

.

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

Here, number of 3's is 3, number of 5's is 2 and number of 7's is 3.

So we need to multiply another 5 to the factorization to make 231525 a perfect cube.

Hence, the smallest number by which 231525 must be multiplied to obtain a perfect cube is 5.