Find the least number by which 112 must be multiplied to give a perfect square

Perfect square

factor and find pairs to make perfect square

example

36=2*2*3*3 = (2*2) * (3*3)

we need paris

factor 112

112=2*2*2*2*7 = (2*2) * (2*2) * (7)

we need a pair for 7

so we just need to multiply it by 7

112*7=784

784=2*2*2*2*7*7 = (2*2) (2*2) (7*7) = 28^2

answer is 7

I think its 6 as the product of 6 and 112 is 672