Question

Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube:

$\left(i\right)$ $243$

$\left(ii\right)$ $256$

$\left(iii\right)$ $72$

$\left(iv\right)$ $675$

• A. $\left(i\right)243\times 3\left(ii\right)256\times 2\left(iii\right)72\times 3\left(iv\right)675\times 5$
• B. $\left(i\right)243\times 3\left(ii\right)256\times 2\left(iii\right)72\times 5\left(iv\right)675\times 3$
• C. $\left(i\right)243\times 5\left(ii\right)256\times 2\left(iii\right)72\times 3\left(iv\right)675\times 3$
• D. $\left(i\right)243\times 3\left(ii\right)256\times 3\left(iii\right)72\times 2\left(iv\right)675\times 5$

Answer 1

The correct option is A $\left(i\right)243\times 3\left(ii\right)256\times 2\left(iii\right)72\times 3\left(iv\right)675\times 5$