factorizations

Number splitting results

Factorizations are the results of breaking numbers or expressions into their factors—the components that multiply together to produce the original.

In arithmetic, the factorization of 12 is 2 × 2 × 3.

In algebra, factorizations reduce polynomials to simpler multiplied terms: The factorizations of quadratic equations follow predictable patterns.

Prime factorization breaks a number down to its prime number components only.

mathematical

prime

Readying for action

multiplication · algebra · composite · unique · theorem · polynomials · equations · matrices · quadratic · cubic

computational

algorithms

Finite instruction sequences

encryption · quantum · sieving · Pollard · parallelization · runtime · optimization · security · keys · protocols

analytical

components

Constituent parts

variance · eigenvalues · rotation · orthogonal · oblique · extraction · correlation · covariance · PCA · dimensions

Opposites
decomposition vs. composition

factorizationsmultiplications

Arithmetic scaling operations

products · compositions · syntheses · combinations · integrations

analyzed vs. unified form

factorizationswholes

Complete unified amounts

expansions · sums · totals · composites · integers

Phrases
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factorization

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