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Built-in Mathematica Symbol

EvenQ

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

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

Test whether 8 is even:

EvenQ gives False for non-numeric expressions:

Test whether 8 is even:

EvenQ gives False for non-numeric expressions:

Test whether an array consists of even integers:

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

Even integers are divisible by 2:

The generating function of the even integers is

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

It is necessary to use symbolic simplification first: