MathDB

A PRODUCTive problem

Source: 2016 AIME II #8

March 17, 2016

AMCAIMEAIME II

Problem Statement

Find the number of sets

\{a,b,c\}

of three distinct positive integers with the property that the product of

a,b,

and

c

is equal to the product of

11,21,31,41,51,

and

61