divide divisors into two groups with equal product if their product is a perfect
Source: (2021-) 2022 XV 15th Dürer Math Competition Finals Day 1 E4
November 29, 2022
number theoryPerfect SquaresDivisors
Problem Statement
Show that the divisors of a number can only be divided into two groups in which the product of the numbers is the same if the product of the divisors of is a square number.