fac·tor·i·za·tion
ˌfak-tə-rə-ˈzā-shən 
: the operation of resolving a quantity into factors
also
: a product obtained by factorization
fac·tor·ize
ˈfaktəˌrīz
-ed/-ing/-s
Examples of factorization in a Sentence
Recent Examples on the Web
Aman Tripathi,
Interesting Engineering,
11 Sep. 2025
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
In 1994, the mathematician Peter Shor discovered a way for quantum computers to efficiently reverse the trapdoor functions that underlie most current public key cryptography systems, including prime factorization.
—
John Pavlus,
WIRED,
15 Dec. 2024
See All Example Sentences for factorization
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Noun
The new research shows that an algorithm using quantum Fourier transforms can perform this factorization efficiently.
—
Aman Tripathi,
Interesting Engineering,
11 Sep. 2025
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
In 1994, the mathematician Peter Shor discovered a way for quantum computers to efficiently reverse the trapdoor functions that underlie most current public key cryptography systems, including prime factorization.
—
John Pavlus,
WIRED,
15 Dec. 2024
See All Example Sentences for factorization
Cite this Entry
“Factorization.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/factorization. Accessed 5 Jul. 2026.
Copy CitationKids Definition
factorization
noun
fac·tor·i·za·tion
ˌfak-tə-rə-ˈzā-shən
: the act or process or an instance or result of factoring
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