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Glite Dictionary
factor of proportionality

factor of proportionality

4.5
A number you multiply one amount by to get another amount that changes the same way
  • noun
  • /ˈfæktər əv prəˌpɔrʧəˈnælɪti/
  • Specialized
translation icon : factor de proporcionalidad
  • In the equation y = kx, k represents the factor of proportionality.

Examples

  • In direct variation, the factor of proportionality is often denoted by the letter k.

  • When converting between units, the factor of proportionality helps ensure the quantities stay equivalent.

  • The factor of proportionality in this equation determines how y changes as x increases.

  • The factor of proportionality is essential in linear equations.

  • In the equation y = kx, the constant k is called the factor of proportionality.

  • The factor of proportionality in physics allows us to relate two different quantities.

  • Understanding the factor of proportionality is crucial for solving problems involving direct variation.

Synonyms

factor
vsfactor of proportionality
  • Specialized
77 2.8

A number that divides another number exactly

is specifically the fixed multiplier that connects two quantities changing together
coefficient
vsfactor of proportionality
  • Specialized
26 6.7

A number that multiplies a variable or shows how strong a relationship is in math and science

specifies that this multiplier links two quantities changing at the same rate
constant of proportionality
vsfactor of proportionality
  • Specialized
6.0

A number that shows how much one value changes when another changes at the same rate

is the common name used in equations for that same fixed number
scale factor
vsfactor of proportionality
  • Specialized
5.1

A number that makes an object bigger or smaller by the same amount

applies instead to linking two varying quantities by a fixed multiplier

Surface Forms

factor of proportionality singular
factors of proportionality plural

Morphology

factor + of + proportionality

The noun phrase is fully compositional: 'factor' (a multiplying number) linked by 'of' to 'proportionality' (a multiplicative relation), so the meaning — the multiplicative constant relating two proportional quantities — follows directly from the constituents. This follows a common, cross-linguistic 'factor of X' pattern and would be interpretable by a B1 learner who knows the component words.

Etymology

Factor of proportionality names the fixed number that tells how two amounts change together. Think of a recipe: the factor is the number you 'multiply' the ingredients by, and proportionality means the parts stay the same, so the factor of proportionality is the number you use to 'convert' one amount into the other.