Maths Olympiad Prep

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, 2016

Number theory Difficulty 5.0 AIME, harder Prove it United Kingdom

The number of my hotel room is a three-digit integer. I thought that the same number could be obtained by multiplying together all of: (i) one more than the first digit; (ii) one more than the second digit; (iii) the third digit. Prove that I was mistaken.

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