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EvenQ[expr]

gives True if expr is an even integer, and False otherwise.

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EvenQ

EvenQ[expr]

gives True if expr is an even integer, and False otherwise.

Details

  • EvenQ[expr] returns False unless expr is manifestly an even integer (i.e. has head Integer, and is even).

Examples

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Basic Examples  (2)

Test whether 8 is even:

Wolfram Language code: EvenQ[8]

EvenQ gives False for non-numeric expressions:

Wolfram Language code: EvenQ[x]

Applications  (1)

Test whether an array consists of even integers:

Wolfram Language code: ArrayQ[{{2, 4}, {6, 10}}, _, EvenQ]
Wolfram Language code: ArrayQ[{{1, 4}, {6, 10}}, _, EvenQ]

Properties & Relations  (3)

An integer is either odd or even. Use OddQ to check that an integer is odd:

Wolfram Language code: EvenQ[3]
Wolfram Language code: OddQ[3]

Even integers are divisible by 2:

Wolfram Language code: EvenQ[12]
Wolfram Language code: Divisible[12, 2]

The generating function of the even integers is :

Wolfram Language code: Series[2x / (x - 1) ^ 2, {x, 0, 10}]

Possible Issues  (1)

Expressions that represent even integers but do not evaluate explicitly will still give False:

Wolfram Language code: x = 2(GoldenRatio - 1 / GoldenRatio);
Wolfram Language code: EvenQ[x]

It is necessary to use symbolic simplification first:

Wolfram Language code: FullSimplify[x]
Wolfram Research (1988), EvenQ, Wolfram Language function, https://reference.wolfram.com/language/ref/EvenQ.html.

Text

Wolfram Research (1988), EvenQ, Wolfram Language function, https://reference.wolfram.com/language/ref/EvenQ.html.

CMS

Wolfram Language. 1988. "EvenQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/EvenQ.html.

APA

Wolfram Language. (1988). EvenQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EvenQ.html

BibTeX

@misc{reference.wolfram_2026_evenq, author="Wolfram Research", title="{EvenQ}", year="1988", howpublished="\url{https://reference.wolfram.com/language/ref/EvenQ.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_evenq, organization={Wolfram Research}, title={EvenQ}, year={1988}, url={https://reference.wolfram.com/language/ref/EvenQ.html}, note=[Accessed: 12-June-2026]}