Question

how to find whether a number perfect cube or not​

Answer 1

Write the prime factorisation of the required number.

For eg., let the number be 27.

Then the prime factorisation will be 3 x 3 x 3.

Here we can see that  3 is repeated 3 times. So 3 is the cube root of 27; thus showing that 27 is  a perfect cube.

For checking this, we just have to write the prime factorisation and check. If the numbers in the prime factorisation repeat thrice, then its aperfect cube. However when counted in pairs of three, if a number remains then its not a perfect cube.

Hope it helps.

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