##  [Euclid's Lemma](/euclids-lemma) 

  ##  [Euclid's Lemma](https://algebra.quantumdictionary.io/euclids-lemma-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The statement in elementary number theory that if a prime p divides the product ab of two integers a and b, then p divides a or p divides b.