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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.

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14y ago
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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.

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13y 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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Q: 0 is even or odd
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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-->A 1-->B A (0/1=odd/even): 0-->START 1-->STOP B (0/1=even/odd): 0-->STOP 1-->START STOP (0/1=odd/odd): 0-->B 1-->A


Is 0 an even number or an odd?

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 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.


Is 0 odd or even or noting?

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Is 0 an odd or a even number?

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

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


Is 1 neither an even nor odd?

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Is there a function that is both even and odd?

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