MathDB
2015 Guts #28

Source:

August 2, 2022
2015Guts Test

Problem Statement

Consider 1313 marbles that are labeled with positive integers such that the product of all 1313 integers is 360360. Moor randomly picks up 55 marbles and multiplies the integers on top of them together, obtaining a single number. What is the maximum number of different products that Moor can obtain?