Question

Is 256 a perfect cube??
Explain.....

Answer 1

256 = (2×2×2)×(2×2×2)×2×2

no...this is not a perfect cube....
bcoz there are no three pairs of numbers..

multiply by 2 get the perfect cube number

then

256 ×2 = 512
√512 = √(8×8×8)
√512 = 8

Hope it's helpful ✌☺

Answer 2

Hello...
Answer..

Solution :

Resolving 256 into prime factors, we have

$256 \: \: = \: \: 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2$


Grouping the factors in triplets of equal factors , we get:

$256 \: = \: (2 \times 2 \times 2) \times (2 \times 2 \times 2) \times 2 \times 2$

Clearly in grouping, The factors in triplets of equal factors, we are left with two factors
$2 \times 2$

Therefore, 256 is not a perfect cube.

Hope it helped ☺☺☺