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?

Guest Apr 22, 2022

#1**+2 **

For the number to be a perfect square, each of its factors must be a power of 2.

To do this, we need a \(3 \times 5 = \color{brown}\boxed{15}\)

BuilderBoi Apr 22, 2022

#1**+2 **

Best Answer

For the number to be a perfect square, each of its factors must be a power of 2.

To do this, we need a \(3 \times 5 = \color{brown}\boxed{15}\)

BuilderBoi Apr 22, 2022