Fractions Dividing $3600$

★ 5/10combinatorics number theory Counting

Problem

Consider rational numbers $r = \dfrac{p}{q} \in (0, 1)$ , where $p$ and $q$ are coprime positive integers and $pq$ divides $3600$ . How many such rational numbers $r$ are there?

Answer

Solution

Difficulty	5/10
Topics	combinatorics, number theory, Counting

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