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factorization

American  
[fak-ter-uh-zay-shuhn, fak-ter-ahy-] / ˌfæk tər əˈzeɪ ʃən, ˌfæk tərˌaɪ- /

noun

plural

factorizations
  1. Mathematics. the breaking down of a quantity, such as a number or an expression, into factors whose product equals that quantity; the result of this process.

  2. the act or process of factoring something, or resolving it into its component parts.


Other Word Forms

  • prefactorization noun
  • refactorization noun

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

The idea is to express the matrix as a product of simpler matrices—similar to the prime factorization of a number.

From Scientific American

The implications were immediately obvious: prime factorization was the backbone of modern encryption.

From Scientific American

I appreciated it even more when I saw how the poem was based on the fundamental theorem of arithmetic, which states that every whole number greater than 1 has a unique prime factorization.

From Scientific American

Data encryption typically relies on the practical difficulty of a process called prime factorization.

From Nature

The vulnerability exposes smartcards, security tokens and other secure hardware chips made by Infineon to a so-called “factorization” attack, the Center for Research on Cryptography and Security said.

From Reuters