---
tag: 0VMWPGGG3C
kind: concept
name: Smallest prime factor
msc: [11A41]
sources:
  - url: https://en.wikipedia.org/wiki/Prime_number
    locator: Trial division
---

## Summary

The smallest prime factor of a natural number $n \ge 2$ is the least prime that divides $n$.
The [[definition of the smallest prime factor|0S2SYHTWPY]] gives the precise form.