Question

find the smallest number by which the number 120393 must be divided so that the quotient has a cube root.

Answer 1

We take lcm of 120393.

$120393 = 3 \times 3 \times 3 \times 7 \times 7 \times 7 \times 13$

Here, 13 is unpaired.

So we divide 120393 by 13

The we get is 9261 which is a perfect cube.

9261= 21*21*21

Therefore 21 is cube root of 9261.

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Answer 2

Answer:

Answer is 9261=21×21×21