Question

Which of the following numbers is not a perfect cube $?$

• A. $216$
• B. $567$
• C. $125$
• D. $343$

Answer 1

The correct option is B

$567$

Finding the perfect cube of a number:

Prime factorization of $567$ is

$567=9\times 9\times 7$

Here, $567$ does not have triplets factors. So, $567$ is not a perfect cube.

Prime factorization of others number are ,

$$\begin{gathered} 216=6\times 6\times 6 \\ 125=5\times 5\times 5 \\ 343=7\times 7\times 7 \end{gathered}$$

As these numbers have triplets factors. So, they are a perfect cube.

Hence, option (B) is correct.