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  2. Singly and doubly even - Wikipedia

    en.wikipedia.org/wiki/Singly_and_doubly_even

    A doubly even number is an integer that is divisible more than once by 2; it is even and its quotient by 2 is also even. The separate consideration of oddly and evenly even numbers is useful in many parts of mathematics, especially in number theory, combinatorics , coding theory (see even codes ), among others.

  3. Parity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(mathematics)

    The even numbers form an ideal in the ring of integers, [13] but the odd numbers do not—this is clear from the fact that the identity element for addition, zero, is an element of the even numbers only. An integer is even if it is congruent to 0 modulo this ideal, in other words if it is congruent to 0 modulo 2, and odd if it is congruent to 1 ...

  4. Even - Wikipedia

    en.wikipedia.org/wiki/Even

    In mathematics, the term even is used in several senses related to odd: even and odd numbers, an integer is even if dividing by two yields an integer; even and odd functions, a function is even if f(−x) = f(x) for all x; even and odd permutations, a permutation of a finite set is even if it is composed of an even number of transpositions

  5. Even and odd functions - Wikipedia

    en.wikipedia.org/wiki/Even_and_odd_functions

    The product of two even functions is an even function. That implies that product of any number of even functions is an even function as well. The product of two odd functions is an even function. The product of an even function and an odd function is an odd function. The quotient of two even functions is an even function.

  6. Parity of zero - Wikipedia

    en.wikipedia.org/wiki/Parity_of_zero

    In mathematics, zero is an even number.In other words, its parity—the quality of an integer being even or odd—is even. This can be easily verified based on the definition of "even": zero is an integer multiple of 2, specifically 0 × 2.

  7. List of types of numbers - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_numbers

    Even and odd numbers: An integer is even if it is a multiple of 2, and is odd otherwise. Prime number: A positive integer with exactly two positive divisors: itself and 1. The primes form an infinite sequence 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ...

  8. Number - Wikipedia

    en.wikipedia.org/wiki/Number

    In mathematics, the notion of number has been extended over the centuries to include zero (0), [3] negative numbers, [4] rational numbers such as one half (), real numbers such as the square root of 2 and π, [5] and complex numbers [6] which extend the real numbers with a square root of −1 (and its combinations with real numbers by adding or ...

  9. Even numbers - Wikipedia

    en.wikipedia.org/?title=Even_numbers&redirect=no

    Pages for logged out editors learn more. Contributions; Talk; Even numbers