factorable

UK: ˈfæktərəbl̩ | US: ˈfæktərəbl̩

Definition
  1. adj. Capable of being factored or broken down into simpler components (mathematics/logic).

  2. adj. Susceptible to decomposition into factors or influences (general usage).

Structure
factor <maker/doer>able <capable of>
Etymology

factorable = factor<maker/doer> + able<capable of>

  • factor: From Latin factor ("one who does/makes"), derived from facere ("to do/make"). Retains the core idea of "element contributing to a result."
  • able: From Latin -abilis (capacity-forming suffix), indicating "capable of undergoing the action."

Etymology Origin:
The word merges factor (originally tied to agency or production) with -able, a versatile suffix denoting potential. In mathematics, it evolved to describe polynomials or numbers decomposable into simpler multiplicative components, reflecting the Latin root’s focus on "creating" through division.

Examples
  1. The quadratic equation is factorable into two binomials.

  2. Not all integers are factorable into prime numbers uniquely.

  3. Her analysis revealed the problem as factorable into three key variables.

  4. The team debated whether the data set was factorable for statistical modeling.

  5. Factorable expressions simplify solving algebraic equations.