Question

The smallest number by which 192 should be multiplied to make it a perfect cube is

Answer 1

Answer:

$9$

Step-by-step explanation:

The prime factorization of $192$ is $2^6 \cdot 3$, and since $2^6$ is already a perfect cube of $4$, we just have to deal with the $3$. To make it a perfect cube, we have to multiply $3$ three times, and so we have to make it $3 \cdot 3 \cdot 3$, and we already have one three so we just add the other two threes, which equal $3^2=9$.