A very large number x is equal to 2^2*3^3*4^4*5^5*6^6. What is the smallest positive integer that, when multiplied with x, produces a product that is a perfect square?
+2668 For the number to be a perfect square, each of its factors must be a power of 2.
To do this, we need a \(3 \times 5 = \color{brown}\boxed{15}\)
+2668 For the number to be a perfect square, each of its factors must be a power of 2.
To do this, we need a \(3 \times 5 = \color{brown}\boxed{15}\)
