coefficient

noun

co·​ef·​fi·​cient ˌkō-ə-ˈfi-shənt How to pronounce coefficient (audio)
Synonyms of coefficientnext
1
: any of the factors of a product considered in relation to a specific factor
especially : a constant factor of a term as distinguished from a variable
2
a
: a number that serves as a measure of some property or characteristic (as of a substance, device, or process)
coefficient of expansion of a metal
b

Examples of coefficient in a Sentence

5 is the coefficient of y in the term 5y. the metal's coefficient of expansion
Recent Examples on the Web
Examples are automatically compiled from online sources to show current usage. Read More Opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback.
By plotting the coefficients of the polynomial as a sort of heat map, the researchers have created striking visuals — an ornate hexagonal QR code for each knot. Erica Klarreich, Quanta Magazine, 22 Apr. 2026 Howe’s side must rely on coefficients and how other sides fare in the FA Cup but theoretically, Europe is there for the taking. George Caulkin, New York Times, 22 Mar. 2026 The final participants are divided into four pots of nine each based on the coefficient ranking system. Encyclopedia Britannica, 20 Mar. 2026 As an example, when two steel surfaces interact (like a train car wheel on a track), the coefficient of static friction would be 0.74, but the coefficient of kinetic friction would be 0.57. Rhett Allain, Wired News, 10 Mar. 2026 See All Example Sentences for coefficient

Word History

Etymology

New Latin coefficient-, coefficiens, from Latin co- + efficient-, efficiens efficient

First Known Use

1708, in the meaning defined at sense 1

Time Traveler
The first known use of coefficient was in 1708

Cite this Entry

“Coefficient.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/coefficient. Accessed 26 Apr. 2026.

Kids Definition

coefficient

noun
co·​ef·​fi·​cient ˌkō-ə-ˈfish-ənt How to pronounce coefficient (audio)
1
: a number or symbol by which another number or symbol (as a mathematical variable) is multiplied
3 is the coefficient of x in the expression 3x
2
: a number that serves as a measure of some property (as of a substance or device)
the metal's coefficient of expansion

Medical Definition

coefficient

noun
co·​ef·​fi·​cient ˌkō-ə-ˈfish-ənt How to pronounce coefficient (audio)
: a number that serves as a measure of some property (as of a substance) or characteristic (as of a device or process) and that is commonly used as a factor in computations
the coefficient of expansion of a metal
see absorption coefficient
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