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# 0 is even or odd

Updated: 9/15/2023

Wiki User

β 13y ago

We need to refer to the mathematical definition of the word "even."

The most commonly accepted definition is that a number "a" is even if there exists an integer "n" which makes the following statement true:

a = 2 x n

0 is an integer. So let n = 0 in the above equation and we get:

0 = 2 x 0

So 0 satisfies the mathematical definition for being even.

Please refer to the article in the "related links" section for a discussion about the misconceptions about zero and why people mistakenly think it is not an even number.

Wiki User

β 13y ago

Wiki User

β 14y ago

The number 0 is proven to be even because the number 1 is odd and 2 is even and 3 is odd and this pattern continues to infinity. So 0 is even.

Wiki User

β 12y ago

By definition, a number x is even if x/2 is an integer. Since 0/2 is 0, and 0 is an integer, it follows that 0 is even.

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Related questions

### Why is 0 a even number. When is it's a odd?

0 is a number to divide the positives and the negitives. Then it will be an even in this timeline. -2, -1, 0, 1, 2 Because it goes even odd even odd even. If zero was not there, then it would go even odd odd even.

### What is the number that is even and odd?

There is no such number. Many people mistakenly say that 0 is both even and odd or that 0 is neither even nor odd. 0 is even by every mathematical definition of the word "even" and is not odd by every mathematical definition of the word "odd."

### Is 0 even and odd?

0 is an even number because it is between two odd numbers.

### Finite automata in compiler design containing all strings of 0s and 1's with odd no of 0s and 1's?

START (0/1=even/even): 0--&gt;A 1--&gt;B A (0/1=odd/even): 0--&gt;START 1--&gt;STOP B (0/1=even/odd): 0--&gt;STOP 1--&gt;START STOP (0/1=odd/odd): 0--&gt;B 1--&gt;A

even :)

### What number is not even or odd?

Any number that is not an integer is neither even nor odd. For example, 8.5, pi, the square root of 2 are all neither even nor odd. Every integer (including 0) is either even or odd. 0 is even since it is divisible by 2: 0 / 2 = 0

### Is 0 odd or even or noting?

An even number can be divided by 2. An odd number will have a remainder when divided by 2. 0 is an even number.

Its even.

### Is 3367 even?

No, even numbers end in the digits 2,4,6,8, or 0. 3367 is odd, because numbers that end in 1,3,5,7, or 9 are odd. 0 is neither even or odd.

### C program to accept a sequence of number terminated by zero and sum all odd nos and even nos?

#include &lt;stdio.h&gt; main() { int n, odd=0, even=0; while (scanf("%d",&amp;n)&amp;&amp;(n!=0)) (n%2)?++odd:++even; printf("odd: %d even: %d\n",odd,even); }

### Is 1 neither an even nor odd?

*1 is an odd number * 0 is an even number

### Is there a function that is both even and odd?

Yes f(x)=0 is both even and odd