Question

State true or false:

$46656$ is a perfect cube.

• A. True
• B. False

Answer 1

The correct option is A True

Prime factorization of:

$46656$ $=\underset{–}{2\times 2\times 2}\times \underset{–}{2\times 2\times 2}\times \underset{–}{3\times 3\times 3}\times \underset{–}{3\times 3\times 3}$

Since all factors are grouped in sets of 3, the number $46656$ is a perfect cube.

Hence, the given statement is true and option $A$ is correct.