factorization

noun
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 factorization (audio) \ transitive verb

Examples of factorization in a Sentence

Recent Examples on the Web If 2020 was the year of 2 + 2 = 5, maybe 2021 will be the year of ... prime factorization? Caroline Delbert, Popular Mechanics, "This Viral Math Problem Is Literally Making People Cry," 17 Feb. 2021 The size of a p-adic number is determined by the prevalence of p in its prime factorization. Quanta Magazine, "An Infinite Universe of Number Systems," 19 Oct. 2020 Quantum computers, though, may be able to solve integer factorization problems many millions of times faster. Sara Castellanos, WSJ, "Visa, JPMorgan Are Already Preparing for Potential Quantum Cyberattacks," 9 Oct. 2020 Light beams might be used to create optical computers powerful enough to solve difficult problems such as factorization. Quanta Magazine, "Alchemy Arrives in a Burst of Light," 30 Sep. 2020 One recent query: how to link lessons on prime factorization with simplifying fractions so students can learn how different topics connect with each other. Sarah E. Needleman, WSJ, "Everyone Is a Live-Streamer in Covid-19 Era," 9 Aug. 2020 Primes are the atoms of a number system — its fundamental building blocks — and unique prime factorization ensures that any number, such as 12, can be expressed uniquely as a product of primes: 2 x 2 x 3. Quanta Magazine, "The Almost-Proof of Fermat’s Last Theorem," 3 Mar. 2017 For this reason, the RSA cryptosystem, an encryption scheme that derives its security from the difficulty of integer factorization, remains a popular tool for secure communication. Quanta Magazine, "Why Quantum Computers Might Not Break Cryptography," 15 May 2017 Unique prime factorization is a way of constructing a number system from fundamental building blocks. Kevin Hartnett, Quanta Magazine, "New Number Systems Seek Their Lost Primes," 2 Mar. 2017

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

Time Traveler for factorization

Time Traveler

The first known use of factorization was in 1886

See more words from the same year

Statistics for factorization

Cite this Entry

“Factorization.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/factorization. Accessed 18 May. 2021.

Style: MLA
MLACheck Mark Icon ChicagoCheck Mark Icon APACheck Mark Icon Merriam-WebsterCheck Mark Icon

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).

WORD OF THE DAY

Test Your Vocabulary

Words Used by Nabokov Quiz

  • image1676440788
  • Choose the best definition or synonym for the word in bold: "There are some eructations that sound like cheers—at least, mine did." Lolita
Name That Thing

Test your visual vocabulary with our 10-question challenge!

TAKE THE QUIZ
Typeshift

Anagram puzzles meet word search.

TAKE THE QUIZ
Love words? Need even more definitions?

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