fac·​tor·​i·​za·​tion | \ ˌfak-tə-rə-ˈzā-shən How to pronounce factorization (audio) \

Definition of factorization

: the operation of resolving a quantity into factors also : a product obtained by factorization

Keep scrolling for more

Other Words from factorization

factorize \ ˈfak-​tə-​ˌrīz How to pronounce factorize (audio) \ transitive verb

Examples of factorization in a Sentence

Recent Examples on the Web

Gauss also conjectured that there are only nine negative square roots that preserve prime factorization. Kevin Hartnett, Quanta Magazine, "New Number Systems Seek Their Lost Primes," 2 Mar. 2017 To boost performance, the Infineon library constructs the keys' underlying prime numbers in a way that makes the keys prone to a process known as factorization, which exposes the secret numbers underpinning their security. Dan Goodin, Ars Technica, "Millions of high-security crypto keys crippled by newly discovered flaw," 16 Oct. 2017 The factorization can be dramatically accelerated by spreading the load onto multiple computers. Dan Goodin, Ars Technica, "Millions of high-security crypto keys crippled by newly discovered flaw," 16 Oct. 2017 Everything from credit-card transactions to text messaging is encrypted using an algorithm that relies on factorization, or reverse multiplication. Jack Nicas, WSJ, "How Google’s Quantum Computer Could Change the World," 16 Oct. 2017 The authors note that a variety of other calculations, like factorization and matrix manipulations, can be performed using phase change memory arrays, meaning this isn't a one-trick pony. John Timmer, Ars Technica, "Who needs a CPU? Phase change memory acts as an analog computer," 26 Oct. 2017 To optimize speed, the library uses a structure of underlying prime numbers that makes the keys much more susceptible to a mathematical process known as factorization. Dan Goodin, Ars Technica, "Crippling crypto weakness opens millions of smartcards to cloning," 23 Oct. 2017 Even more importantly, mathematicians are constantly developing new algorithms that allow for easier factorization. Adam Mann, WIRED, "Laws of Physics Say Quantum Cryptography Is Unhackable. It’s Not," 7 June 2013

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'factorization.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

See More

First Known Use of factorization

1886, in the meaning defined above

History and Etymology for factorization

factorize (from factor entry 1 + -ize) + -ation

Keep scrolling for more

Learn More about factorization

Statistics for factorization

Last Updated

22 Jun 2019

Look-up Popularity

Time Traveler for factorization

The first known use of factorization was in 1886

See more words from the same year

Comments on factorization

What made you want to look up factorization? Please tell us where you read or heard it (including the quote, if possible).


showing courage and determination

Get Word of the Day daily email!

Test Your Vocabulary

Words for Summer: A Quiz

  • a closeup of a sunflower
  • Which of the following words means “of or relating to summer”?
Spell It

Can you spell these 10 commonly misspelled words?

Word Winder's CrossWinder

Test Your Knowledge - and learn some interesting things along the way.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!