Arrange positive divisors of n in rectangular table!
Source: 2016 IMO Shortlist C2
July 19, 2017
combinatoricsIMO Shortlistnumber theoryTablesHi
Problem Statement
Find all positive integers for which all positive divisors of can be put into the cells of a rectangular table under the following constraints:[*]each cell contains a distinct divisor;
[*]the sums of all rows are equal; and
[*]the sums of all columns are equal.