---
tag: 03HDF50VN4
kind: concept
name: P-adic valuation
msc: [11A51]
sources:
  - url: https://en.wikipedia.org/wiki/P-adic_valuation
    locator: lead section
same_as:
  wikidata: Q4008396
  wikipedia: P-adic valuation
---

## Summary

The $p$-adic valuation of a nonzero integer $n$, for a prime $p$, is the exponent of the highest power of $p$ that divides $n$.
The [[definition of the p-adic valuation|04VCPS30ZE]] gives the precise form.