Question

Which smallest whole number is to be multiplied to $2028$ to get a perfect square number?

• A. $4$
• B. $3$
• C. $2$
• D. $6$

Answer 1

Answer: (B)

$3$

To find out what needs to be multiplied to $2028$ to make it a perfect square, we need to find out the factors of $2028$.

Hence factors of 2028 are :

$2028=\underset{–}{2\times 2}\times \underset{–}{13\times 13}\times 3$
Prime factor $3$ is not in pairs, so $3$ has to be multiplied to get the perfect square i.e.
$2028\times 3=6084$

Hence the answer is C.