Given a positive integer n, what is the largest k such that the numbers 1,2,...,n can be put into k boxes so that the sum of the numbers in each box is the same?

[When n = 8, the example {1,2,3,6},{4,8},{5,7} shows that the largest k is at least 3.]

Thanks for the question, it shouldn't be hard for someone preparing for a math test to solve that question.
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Posted by Gary Knapp on 2020-04-19 03:20:29