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MathNet 2020 — Math Olympiad Vault — Part 06 Question 81

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 06

Question 81

Positive integers from $1$ to $100$ inclusive are written on the blackboard. Andrew wants to cross out some numbers in such a way, that the product of the remaining numbers is not divisible by $250$. What is the smallest number of numbers that he can cross?