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  • Is zero an even no or odd no?

    Manish Goyal

    Member

    Updated: Oct 25, 2024
    Views: 947
    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///
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Replies

  • Saandeep Sreerambatla

    Member • Dec 22, 2009

    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.

    <a href="https://en.wikipedia.org/wiki/Evenness_of_zero" target="_blank" rel="nofollow noopener noreferrer">Evenness Of Zero</a>
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  • cooltwins

    Member • Dec 23, 2009

    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
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  • Eddy boy

    Member • Dec 23, 2009

    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
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  • Manish Goyal

    Member • Dec 23, 2009

    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.
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  • Guttu

    Member • Dec 23, 2009

    Zero doesn't exists. So it cannot be odd or even.
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  • durga ch

    Member • Dec 23, 2009

    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.
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  • MaRo

    Member • Dec 23, 2009

    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.
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  • skipper

    Member • Dec 23, 2009

    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".
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  • Saandeep Sreerambatla

    Member • Dec 23, 2009

    Yep I go with skipper here!!
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  • vik001ind

    Member • Dec 23, 2009

    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.
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  • callyD

    Member • Jan 3, 2010

    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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