factorizing

Breaking into primes

Factorizing is breaking a number or expression into the factors that multiply together to produce it.

Factorizing 12 yields 2 × 2 × 3; factorizing x² − 9 yields (x + 3)(x − 3).

The spelling with -ize is standard in American English, while British English prefers factorising.

Also called factoring.

simplify

reduce

Make smaller in degree

decompose · rewrite · express

polynomials

quadratic

Involving squared terms

coefficients · roots · zeroes · monomial · variables · exponents · x-intercept · expansion · distributive · grouping

primes

prime

Readying for action

divisor · Euclid · Eratosthenes · sieve · multiplicity

arithmetic

division

Splitting into parts

remainder · divide · partition · split · divisibility · multiple · product

Opposites
mathematical operation direction

factorizingexpanding

Growing in scope

distributing · combining · composing · multiplying · synthesizing

analytical approach

factorizingexpanding

Growing in scope

expansion · elaborating · distributing · unfolding · building up

Family

factors, factoring, factorization, factorize, factorized, factorise, factorizes, factorised, factorising

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