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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///
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 - Wikipedia, the free encyclopedia
cooltwins
cooltwins • 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
Eddy boy
Eddy boy • 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
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 • Dec 23, 2009
Zero doesn't exists. So it cannot be odd or even.
durga ch
durga ch • 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.
MaRo
MaRo • 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.
skipper
skipper • 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".
Yep I go with skipper here!!
vik001ind
vik001ind • Dec 24, 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.
callyD
callyD • 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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