Question

Harry wants to distribute 441 candies among $x$ friends in such a way that each friend gets $x$ candies. What is the value of $x$?

• A. 19
• B. 7
• C. 42
• D. 21

Answer 1

The correct option is D 21

Given that Harry wants to distribute 441 candies among his $x$ friends in such a way that his each friend gets $x$ candies.
$\Rightarrow$ 441 = $x^2$
Prime factors of 441 are $3\times 3\times 7\times 7$ = $21\times 21$ = ${21}^2$
$\Rightarrow$ 441 = ${21}^2$
So, Harry can distribute 441 candies among 21 of his friends in such a way that each friend gets 21 candies.