Multiplication magic square
Source: 2021 Nigerian MO Round 3/P4
December 19, 2022
multiplicationcombinatorics
Problem Statement
In the multiplication magic square below, are positive integers. The product of any three numbers in any row, column or diagonal is equal to a constant , where is a number between and . Find the value of .
\begin{tabular}{|l|l|l|}
\hline
& & \\
\hline
& & \\
\hline
& & \\
\hline
\end{tabular}