MathDB
16 pos.divisors of 2024 on 4x4 table such that each line / row multiple of 3

Source: Greece Junior Math Olympiad 2024 p3

March 2, 2024
combinatoricsnumber theory

Problem Statement

Examine if we can put the sixteen positive divisors of 20242024 on the cells of the table shown such that the sum of the four numbers of any line or row to be a multiple of 33.
\begin{tabular}{ | l | c | c | r| } \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}