---
tag: 5YHKW9RJZY
kind: concept
name: Jordan–Pólya number
sources:
  - wikipedia: en:68857410@r1370496140
    locator: Jordan–Pólya number
    note: adopted
    mention: wikipedia://en/68857410
    sections: [Summary]
same_as:
  wikidata: Q108899013
  wikipedia: Jordan–Pólya number
inventory: [JHH0R8QKAR]
---

## Summary

In mathematics, the **Jordan–Pólya numbers** are the numbers that can be obtained by multiplying together one or more [[factorials|0XWG0JGDFW]], not required to be distinct from each other. For instance, $480$ is a Jordan–Pólya number because $480=2!\cdot 2!\cdot5!$. Every [[tree|062D9KXJB1]] has a number of symmetries that is a Jordan–Pólya number, and every Jordan–Pólya number arises in this way as the [[order|0B85S2V2DR]] of an [[automorphism group|0CWXCWP0Y0]] of a tree. These numbers are named after Camille Jordan and George Pólya, who both wrote about them in the context of symmetries of trees.