AMC 10 Step by Step
2000 AMC 10Problem 1P1-10~1 minPrint

In the year 20012001 , the United States will host the International Mathematical Olympiad. Let I,M,I,M, and OO be distinct positive integers such that the product IMO=2001I \cdot M \cdot O = 2001 . What is the largest possible value of the sum I+M+OI + M + O ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2000 12 #1.