factorization

noun

fac·​tor·​i·​za·​tion ˌfak-tə-rə-ˈzā-shən How to pronounce factorization (audio)
: the operation of resolving a quantity into factors
also : a product obtained by factorization
factorize transitive verb

Examples of factorization in a Sentence

Recent Examples on the Web
Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
The Quantum Threat Conventional cryptographic protocols such as RSA, ECC and Diffie-Hellman rely on the computational difficulty of mathematical problems like integer factorization and discrete logarithms to provide security. Dino Dimarino, Forbes.com, 29 Apr. 2025 This has meant that the most advanced forms of cryptography—which are based on factorization—cannot now be broken. Charina Chou, Foreign Affairs, 7 Jan. 2025 Less obvious is what also has been demonstrated—that quantum computers can offer dramatic gains in solving some kinds of non–quantum mechanical problems, such as factorization. Charina Chou, Foreign Affairs, 7 Jan. 2025 The researchers employed innovative techniques to optimize the mapping of the factorization problem onto the quantum annealer. Craig S. Smith, Forbes, 16 Oct. 2024 See All Example Sentences for factorization

Word History

Etymology

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

First Known Use

1886, in the meaning defined above

Time Traveler
The first known use of factorization was in 1886

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Cite this Entry

“Factorization.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/factorization. Accessed 15 May. 2025.

Kids Definition

factorization

noun
fac·​tor·​i·​za·​tion ˌfak-tə-rə-ˈzā-shən How to pronounce factorization (audio)
: the act or process or an instance or result of factoring
Last Updated: - Updated example sentences
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