Even or Odd?

Method 1 : A number is called even if it is an integer multiple of 2.
$\large 0 \times 2 = 0$

Hence , 0 is an even number .

Method 2 : Any number can also said to be even if it gives remainder 0 when divided by 2. $\large 0 \ \% \ 2 = 0$

Hence, 0 is an even number .

Method 3 : $\color{#D61F06}0 \rightarrow \quad \quad \quad ? \quad \quad$ $\color{#3D99F6}1 \rightarrow \text{odd number}$ $\color{#D61F06}2 \rightarrow \text{even number}$ $\color{#3D99F6}3 \rightarrow \text{odd number}$ $\color{#D61F06}4 \rightarrow \text{even number}$ $\color{#3D99F6}5 \rightarrow \text{odd number}$

On observing the above pattern, 0 should be an even number .

Method 4 : $\text{even} \pm \text{even} = \text{even}$ $\large 2 - 2 = 0$

Hence, 0 is an even number .

Most of you guys saying zero is not even, are actually confused with the definition of number. First lets be clear with the definition of number. After that, we need to know that any integer, negative, positive or the zero it self can be classified as even or odd, without losing its cacharacterist of existing as number. Another confusion is the social meaning of 0 and negative numbers, eg we cannot divide -1 patatos with 2 kids, or 0 oranges divided to 1 kid, as the social meaning of both operations leaves no patatos to no kids,becaus of it we tend to say that such thing is not possible. But well, it is mathematically possible, just as -1 patato is odd, 1 is odd, 0 is even and they are all numbers

The definition of an even number is as follows: Z(even) = 2n That is if a number can be represented as a multiple of 2, it is even 2(0) = 0 Therefore 0 is even

When we put 0 after odd number the value become even. That's why,

I look at it this way. If 2, 4, 6, 8... are even numbers then 8, 6, 4, 2 series would also be correct. And after 2 in that descending series, it is 0. Hence 4, 2, 0 are even numbers.

even is when divided to 2 it always has 0 remainder 0 / 2
%=0

$0 \div 2 = 0 \cdots 0$ .

When 0 is divided by 2, the resulting quotient turns out to also be 0—an integer, thereby classifying it as an even number.

take 10 for example. 10 is considered an even number, and if it is even or odd is decided upon the units digit. Therefore, 0 would have to be even.

Zero is even as it can be factorised into

0 = 2× 0

Because $\text{even}-\text{even}=\text{even}$ so $2-2=0$ since 2 is a even number and hence 0 is even

0 is an integer multiple of 2 , 0 × 2 = 0 . Therefore , 0 is a even number.

zero is an even number.

Even A number divided by 2 is said to be even So,we say that 0 is divided by any thing except 0 it result 0 So when we divided 2 from 0 result 0...

All odd numbers can be written like n = 2*k being k a natural number. Similarly all even numbers can be written n=2k. In this case. In irder to fulfill your req 0 = 2 * 0 thus being even

0 is even because the even numbers end in 2, 4, 6, 8, or 0

Zero is an even number by every possible explanation. I have seen so many misconceptions in here that it is frightening. Let's start with this: zero IS a number and DOES exist. Zero is a whole number, integer, rational number, real number. The concept of "does not exist" does not apply. Can you point to zero in a number line?...then it exists. Secondly, all integers are odd or even by definition. Thirdly, even if you ignored the mathematical definition of even vs odd there is a clear pattern: odd, even, odd, even, etc. Without zero there would be consecutive numbers that are odd in that pattern (1 and -1). Fourthly, zero meets the mathematical criteria for an even number... That is it is divisible by 2 such that the integer is equal to two times an integer (for example 24=2(12), thus 24 is even). Because zero is divisible by two it must be even.

Finally, if you do not agree with brilliant or anything said here... Try a Google search. Zero IS even.

First, lets define "even numbers":

Even numbers are any integers that can be divided exactly by 2 (it means no remainder).

And if we say that zero is not an even nor an odd number, how can we prove that 0 divided by 2 is undefined.

So zero is an even number since 0 divided by 2 is 0 (no remainder).

0 is an even digit and a number. If you put an even digit at unit place of a number that number is even. e. g. 10,12,14,16,18,20,.... If you put an odd digit at unit place of a number that number is odd e. g. 11,13,15,17,19,21,...

After a odd number a even number came and 1 is odd so this means that 0 is even

If I believe correctly then 0 is considered neither even or odd but as a 'special' number by itself to represent as many have said 'nothing'. For the point of this problem however, the reasoning behind why it's even:

Even is a number that can be divided into equal shares of itself, for example 2 can be divided into 2 lots of 1. Following this pattern we can say that zero can divide itself into equal shares of zero aka nothing.

Even ---> 2x Odd ---> 2x+1 2.0=0 but 2.0 + 1 is never equal zero