Question

How to check whether a number is perfect cube?

Answer 1

if the last one or two digit is divisible by 3 then it will be a perfect cube.

Answer 2

Answer:

your answer :

✴ How to check whether a number is perfect cube ❓

• express the given number as a product of prime numbers .

• Group the factors in triplets such that all are three factors in each triplet are the same .

• If some prime factors are left ungrouped , the given number is not a perfect cube

For Examples :-

• Is 216 a perfect cube ?

solution ➡ 216 = 2×2×2×3×3×3

= 2³ × 3³

= (2×3)³

= (6)³

yes 216 is a perfect cube

_________________________

• Is 100 is a perfect cube ?

solution ➡ 100 = 2×2×5×5

factors 2 & 5 not form a group of three , therefore 100 is not a perfect cube .

I hope it helps u

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