Definitions for factorization
fac·tor·iza·tion

Princeton's WordNetRate this definition:3.8 / 4 votes

1. factorization, factorisation, factoringnoun

   (mathematics) the resolution of an entity into factors such that when multiplied together they give the original entity

WiktionaryRate this definition:0.0 / 0 votes

1. factorizationnoun

   The process of creating a list of factors.

2. factorizationnoun

   An expression listing items that, when multiplied together, will produce a desired quantity.

3. factorizationnoun

   A list of factors.

ChatGPTRate this definition:0.0 / 0 votes

1. factorization

   Factorization is a mathematical process where a number or a polynomial is broken down into its simplest form, or in other words, into its factors. These factors are either prime numbers in the case of integers or irreducible polynomials in the case of polynomials. This helps to simplify complex calculations as well as solve equations and represent numbers or polynomials in different forms.

WikidataRate this definition:5.0 / 1 vote

1. Factorization

   In mathematics, factorization or factoring is the decomposition of an object into a product of other objects, or factors, which when multiplied together give the original. For example, the number 15 factors into primes as 3 × 5, and the polynomial x² − 4 factors as. In all cases, a product of simpler objects is obtained. The aim of factoring is usually to reduce something to “basic building blocks”, such as numbers to prime numbers, or polynomials to irreducible polynomials. Factoring integers is covered by the fundamental theorem of arithmetic and factoring polynomials by the fundamental theorem of algebra. Viète's formulas relate the coefficients of a polynomial to its roots. The opposite of polynomial factorization is expansion, the multiplying together of polynomial factors to an “expanded” polynomial, written as just a sum of terms. Integer factorization for large integers appears to be a difficult problem. There is no known method to carry it out quickly. Its complexity is the basis of the assumed security of some public key cryptography algorithms, such as RSA. A matrix can also be factorized into a product of matrices of special types, for an application in which that form is convenient. One major example of this uses an orthogonal or unitary matrix, and a triangular matrix. There are different types: QR decomposition, LQ, QL, RQ, RZ.

How to pronounce factorization?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say factorization in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of factorization in Chaldean Numerology is: 6

2. Pythagorean Numerology

   The numerical value of factorization in Pythagorean Numerology is: 4

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References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=factorization
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Factorization
3. ^ ChatGPT
   https://chat.openai.com
4. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=factorization