MathDB
n kids with k bars of chocolate

Source: 2021 Dürer Math Competition Finals Day 1 E+3

January 2, 2022
combinatorics

Problem Statement

On the evening of Halloween a group of nn kids collected kk bars of chocolate of the same type. At the end of the evening they wanted to divide the bars so that everybody gets the same amount of chocolate, and none of the bars is broken into more than two pieces. For which nn and kk is this possible?