Question

Is $4096$ a perfect cube?

• A. Yes
• B. No
• C. Can't Say
• D. None of these

Answer 1

The correct option is A Yes

Prime factorising $4096$, we get,

$4096=2\times 2\times 2\times 2\times 2\times 2\times$ $2\times 2\times 2\times 2\times 2\times 2$ $=2^{12}$.

We know, a perfect cube has multiples of $3$ as powers of prime factors.

Here, number of $2$'s is $12$, which is a multiple of $3$.

Therefore, $4096$ is a perfect cube.

Hence, option $A$ is correct.