Is zero an even no or odd no?

Today i was studying Group theory..so this question arises in my mind
What do you think guys...zero an even no or odd no?
Please give some solid reason with your answer///

Replies

  • Saandeep Sreerambatla
    Saandeep Sreerambatla
    Generally Even number is called an integer which is exactly divisible by 2.

    So even numbers are considered to be in the form of 2k.

    so zero is an even number.

    Check this link for more detailed answer.

    Evenness Of Zero
  • cooltwins
    cooltwins
    yeah even nos. are those which can be divided by 2 so zero falls under the even category
    also only if x%2=1 the no. is considered odd and 0%2=0 so it is even
    besides it is generally oddno.,even no., oddno.,even no., oddno.,even no.,... order so the no. before an odd no. i.e., 1 is undoubtedly even
  • Eddy boy
    Eddy boy
    zero is even if you think it is odd than give the characteristic of zero that matches with odd one....zero is unique digit in number system
    ...thanks
  • Manish Goyal
    Manish Goyal
    Here is the answer which i got from a website
    Zero is an even number. An integer n is called *even* if there exists
    an integer m such that n = 2m, and *odd* if n+1 is even. From this,
    it is clear that 0 = (2)(0) is even.
  • Guttu
    Guttu
    Zero doesn't exists. So it cannot be odd or even.
  • durga ch
    durga ch
    i go with Guttu.
    Zero indicates emptiness. So how do you classify something which doesnot exists?
    I guess this very emptiness gave rise to the principle of infinitness i.e 2/0 = infinity.

    yes, if you consider zero as a number, the above justification works stating 0/2 et al make sense.
  • MaRo
    MaRo
    Zero indicates the emptiness that gives a high value when attached to a non-empty value, so emptiness itself is a value, if there's no emptiness there wouldn't be more.

    P.S.: just a thought not sure about its validity.
  • skipper
    skipper
    Factorial 0 is 1. Then there is some argument about 0[sup]0[/sup].
    Zero is a quotient group in the integers as Z/nZ, n = 0, a modular form equivalent to div 0.

    Div 0 means "divide zero times", not "divide by zero".
  • Saandeep Sreerambatla
    Saandeep Sreerambatla
    Yep I go with skipper here!!
  • vik001ind
    vik001ind
    0 in non positive & non negative integer. By the definition of evenness & oddness, any no divisible by 2 is even & otherwise odd.
    So 0 is even , as 0/2 = 0 & 0 is a whole no.
  • callyD
    callyD
    I second vik001ind's comment... Zero is an even number, as 0 is divisible by 2, and leaves no remainder. 0 is neither positive nor negative.

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