##  [Factorization](/index.php/factorization) 

  ##  [Factorization](https://algebra.quantumdictionary.io/factorization-0) 

  

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

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The process of expressing an algebraic element (integer, polynomial, or ring element) as a product of irreducible factors or primes within a domain that admits such decompositions; emphasizes existence of a factorization and the role of units and associates.