2025 SSMO Relay Round 2 Problems/Problem 3
Problem
Let 
Define a \textit{multiplicative partition} of a positive integer 
as the value of a product 
where 
and every 
is a positive integer. Let 
denote the maximal possible value of a multiplicative partition of 
. If the sum of all possible values of 
for integers 
can be expressed as 
where 
and are relatively prime positive integers, find 
.
