Question

Which, of the following numbers, is a perfect cube? a) 8 b) 81 c) 25 d) 100

Answer 1

Answer:only 8 is the perfect cube

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Answer 2

ANSWER

Here, prime factorization of:

8=2×2×2=23

81=2×2×2×2=24

25=5×5=52

100=2×2×5×5=52×22

A perfect cube has multiples of 3 as powers of prime factors.

Here, only 8 has powers of prime factors as the multiples of 3.

Hence, option A is correct.