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

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Answer:

671

Step-by-step explanation:

The prime factorization of 2001 is 3 * 23 * 29, so you can have 667 * 3 * 1, so it is 667 + 3 + 1 or 671.