Question

Find the smallest number by which $26244$ is divided to get the quotient as a perfect cube.

• A. $4$
• B. $9$
• C. $18$
• D. $36$

Answer 1

Answer: (D)

$36$

$26244=2^2\times 3^8=2^2\times 3^2\times 3^6$

To make it a perfect cube, it needs to be divided by $2^2\times 3^2$, i.e. $4\times 9=36$.

Hence option D is correct.