Question

find the smallest number by which 68600 must be multiplied to get a perfect square

Answer 1

68600=
${5}^{2} \times {2}^{4} \times {3}^{2} \times 19$
The condition for a number to be a perfect square is that the powers of the prime factors of that number must be even
Hence, the smallest number by which 68600 must be multiplied to get a perfect square is 19

Answer 2

The smallest number by which 68600 can be multiplied for getting perfect square is 19