Question 47
Find all positive integers $n$ for which all positive divisors of $n$ 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.
- each cell contains a distinct divisor;
- the sums of all rows are equal; and
- the sums of all columns are equal.