Question

Find the smallest positive integer with which $1352$ be multiplied to get a perfect square.

Answer 1

The given number is $1352$. Breaking the number as product of prime factors.

$1352=2\times 2\times 13\times 13\times 2=2^2\times {13}^2\times 2$

To get a perfect square, the prime numbers should occur even number of times.
Here, $2$ occurs three times (odd number of times).
Thus, we have to multiply $1352$ by $2$ to get a perfect square.