---
tag: 0KXQKES075
kind: concept
name: Number of prime factors counted with multiplicity
msc: [11A25]
sources:
  - url: https://en.wikipedia.org/wiki/Prime_omega_function
    locator: lead section
---

## Summary

The function $\Omega(n)$ counts the prime factors of a positive integer $n$, with each prime counted as often as it divides $n$.
The [[definition of the number of prime factors with multiplicity|08420828EY]] gives the precise form.