2006 USAMO Problems/Problem 4

Revision as of 11:04, 12 July 2006 by Ragnarok23 (talk | contribs)

Problem

Find all positive integers $n$ such that there are $k\ge 2$ positive rational numbers $a_1,a_2,\ldots a_k$ satisfying $a_1+a_2+...+a_k=a_1\cdot a_2\cdots a_k=n.$

Solution

See Also

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