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Bundeswettbewerb Mathematik 1977 Problem 1.3

Source: Bundeswettbewerb Mathematik 1977 Round 1

October 10, 2022
Integersalgebranumber theory

Problem Statement

The number 5050 is written as a sum of several positive integers (not necessarily distinct) whose product is divisible by 100.100. What is the largest possible value of this product?