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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///

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

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

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

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

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

...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.

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.

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

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.

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.

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.

P.S.: just a thought not sure about its validity.

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".

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!!

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.

So 0 is even , as 0/2 = 0 & 0 is a whole no.

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.