Question

Which of the following is not a perfect cube? *

216

1000

256

1331

​

Answer 1

Answer:

256

Hope this helps you

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following is not a perfect cube

216

1000

256

1331

EVALUATION

Step : I

Firstly express the given number as a product of prime factor by using prime factorisation

216 = 2 × 2 × 2 × 3 × 3 × 3

1000 = 2 × 2 × 2 × 5 × 5 × 5

256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

1331 = 11 × 11 × 11

Step : II

Group the factors in triple form . If no factor is left over in grouping (triples) then the number is perfect cube otherwise not

216 = 2³ × 3³

1000 = 2³ × 5³

256 = 2³ × 2³ × 2²

1331 = 11³

We see that the factors of 256 are not in triple form. One factor 2 is left over in grouping

Hence 256 is not a perfect cube

FINAL ANSWER

Hence the correct option is 256

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