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Factorization

In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is an integer factorization of 15, and (x − 2)(x + 2) is a polynomial factorization of x2 − 4.

Products, Expressions & Polynomials

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Overview

Integers

Expressions

Polynomials

Unique factorization domains

Ideals

Matrices

Advanced semantic analysis

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Map overview Semantic statistics

Factorization

Nodes145
Edges144
Triples65
Avg. degree1.99
Density0.013793
Components1

How this topic connects Entity context

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Factorization

Top relations

related to history · 13
Factorization → Aequationes Algebraicas Resolvendas, Artis Analyticae Praxis, Balancing, Calculation, Completion, Harriot, Harriot's, However, In, Khwarizmi's, The, The Compendious Book, Then
related to Example · 9
Factorization → As, Continue, For, It, One, Start, The, This, Thus
related to Matrices · 7
Factorization → As, For, LU, LUP, Matrix, See Matrix, Thus
related to Unique factorization domains · 7
Factorization → Every, GCD, Greatest, Integral, The, UFD, UFDs
related to Ideals · 6
Factorization → Diophantine, Eisenstein, Gaussian, In, The, Unfortunately
related to Primitive-part & content factorization · 6
Factorization → Every, Finally, For, In, The, Then
related to Expressions · 4
Factorization → For, If, Manipulating, When
related to Integers · 3
Factorization → By, For, When
related to Rational roots · 3
Factorization → For, If, Primitive
is a · 2
Factorization → major difficulty for solving Diophantine equations, sort of inverse to multiplication

Important terminology Word statistics

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Important terminology

displaystyle polynomial may one polynomials coefficients integers factors roots unique divisor rational example number root product integer common theorem prime

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Factorizationis asort of inverse to multiplication0.90text
Factorizationis amajor difficulty for solving Diophantine equations0.90text
Factorizationrelated to ExampleFor0.60section
Factorizationrelated to ExampleStart0.60section
Factorizationrelated to ExampleContinue0.60section
Factorizationrelated to ExampleIt0.60section
Factorizationrelated to ExampleThe0.60section
Factorizationrelated to ExampleOne0.60section
Factorizationrelated to ExampleThis0.60section
Factorizationrelated to ExampleAs0.60section
Factorizationrelated to ExampleThus0.60section
Factorizationrelated to ExpressionsManipulating0.60section

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