olymmath

OPM 2015 Problem 1

  • Final day 1

A number of three digits is said to be firmwhen it is equal to the product of its unit digit by a number formed by the remaining digits. For example, 153153 is firm because 153=3×51153 = 3 \times 51 . How many firm numbers are there?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2015 official paper, page 1.

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