factorized
Split into components
Factorized is the past tense and past participle of factorize, meaning to break down a number or mathematical expression into its constituent factors.
In British English, factorized is the standard spelling, while American English typically uses factored.
We factorized the polynomial to find its roots.
The term appears most often in mathematical and computational contexts, where factorizing large numbers has applications in cryptography and data security.
Ordered numerical arrangement
- decompositionBreakdown into simpler parts
- eigenvaluesTransformation scaling constants
- eigenvectorsVectors scaled by matrices
- QRTwo-dimensional scannable code
diagonal · triangular · rank · determinant · inverse · orthogonal · spectral · sparse
Readying for action
- compositeMade of distinct parts
- divisorsNumbers dividing another evenly
- integerNumber lacking fractions
- irreducibleCannot be simplified further
arithmetic · indivisible · Euclid · greatest common divisor · least common multiple
Expressions with variable powers
- quadraticInvolving squared terms
- equationMathematical equality assertion
- binomialsAlgebraic expressions with two terms
- trinomialsExpressions with three terms
expressions · coefficients · roots · variables · expansion · algebraic · exponents · radicals
Making something smaller
- breakdownFailure or decomposition
- componentsConstituent parts
- separationState of being apart
- decompositionBreakdown into simpler parts
subdivision · condensation · refinement · streamlining · restructuring · modularization · partitioning · decoupling
Finite problem-solving procedure
- convergenceProcess of approaching sameness
- gradientRate of change across space
- objectivePurpose or goal
- functionPurpose or duty
minimization · maximization · stochastic · constraint · parameter · variable · subproblem · parallelization
matrix
Ordered numerical arrangement
- decompositionBreakdown into simpler parts
- eigenvaluesTransformation scaling constants
- eigenvectorsVectors scaled by matrices
QR · diagonal · triangular · rank · determinant · inverse · orthogonal · spectral · sparse · dense
prime
Readying for action
- compositeMade of distinct parts
- divisorsNumbers dividing another evenly
- integerNumber lacking fractions
irreducible · arithmetic · indivisible · Euclid · greatest common divisor · least common multiple
polynomials
Expressions with variable powers
- quadraticInvolving squared terms
- equationMathematical equality assertion
- binomialsAlgebraic expressions with two terms
trinomials · expressions · coefficients · roots · variables · expansion · algebraic · exponents · radicals · solutions
reduction
Making something smaller
- breakdownFailure or decomposition
- componentsConstituent parts
- separationState of being apart
decomposition · subdivision · condensation · refinement · streamlining · restructuring · modularization · partitioning · decoupling · abstraction
algorithm
Finite problem-solving procedure
- convergenceProcess of approaching sameness
- gradientRate of change across space
- objectivePurpose or goal
function · minimization · maximization · stochastic · constraint · parameter · variable · subproblem · parallelization · decomposed
factorizedexpanded
Made larger or wider
combined · consolidated · unsimplified · summed · aggregated
factorizedunfactored
Not split into components
unexpanded · undecomposed · raw · unanalyzed · unsimplified
- prime factorizationUnique prime product representation