Math and Arithmetic

Numbers

# Is zero an odd number?

###### Wiki User

###### March 30, 2011 4:24AM

No. Zero is not an odd number. Zero is an even number.

A number a is even if there exists an integer b that makes the following equation true:

a = 2 x b

0 is an integer, so let b = 0 and you get

0 = 2 x 0

So 0 is even.

Please see the article "Parity of Zero" in the Related Links sections for more information.

## Related Questions

###### Asked in Math and Arithmetic, Numbers

### Is zero an odd or even number and why not?

Zero is not classified as an even or an odd number, due to the
fact if you have zero of anything, there is no value in use. An
even number, of anything, can be distribute equally and
identically. An odd number, of anything, cannot be distribute
equally, because there will be some or a few left over.

###### Asked in Math and Arithmetic, Algebra, Numbers

### What is an odd number minus and odd number?

Always an even number. Zero is not considered to be positive or
negative, but it is considered to be even.
zero is undefined. you can't measure nothing. ie it holds no
value. aka not even/odd/pos/neg. aka nothing. thus, your answer is
correct with the zero exception.
Answer
Well, an odd number is one that is not evenly divisible by two.
Subtracting an odd number from another odd number results in an
even number. The jury is out (above) on whether zero is even or
odd.
Nine minus five is four; four is an even number
Fifteen minus seven is six; six is an even number
Nineteen minus three is sixteen; sixteen is an even number

###### Asked in Math and Arithmetic, Algebra, Numbers

### What number either even or neither odd?

Every integer (whole numbers, including positives, negatives,
and zero) is either odd or even. No number is both odd and
even.
Other numbers, such as fractions that don't reduce to an
integer, irrational numbers, and pure imaginary numbers are neither
odd nor even.
Zero is an even number and is not an odd number.

###### Asked in Math and Arithmetic, Algebra

### Why is zero odd?

###### Asked in Math and Arithmetic, Numbers

### Is zero an even number?

For all practical uses of the term, zero is an even
number. Only in some higher mathematics is the parity
unclear.
Why Zero is Even
Division : By definition, an even number is divisible by
2, with no remainder. 0/2 = 0 with no remainder.
Number Line : on the integer number line, even and odd
numbers alternate, and any odd number increased or reduced by 1 is
an even number.
Addition : additive rules state that even + even = even,
and odd + odd = even. Under these rules, zero can be even, but
cannot be odd.
* Do not confuse this with the fact that zero is neither
positive nor negative. That has nothing to do with whether zero is
odd or even. The fact that it is not positive or negative does not
mean that zero is devoid of all other mathematical properties, such
as evenness (parity).

###### Asked in JavaScript, HTML

### Can identify the odd and the even in the java script using HTML?

Here is a JavaScript option for determining if a number is odd
or even. It even lets you know if the number is zero (if you want
zero to be neither odd nor even).
var n = prompt("Enter a number to identify as odd or even",
"Type your number here");
n = parseInt(n);
if (isNaN(n))
{ alert("Please Enter a Number"); }
else if (n == 0) { alert("The number is zero"); }
else if (n%2) { alert("The number is odd"); }
else { alert("The number is even"); }

###### Asked in Math and Arithmetic, Numbers

### Why is zero an even number?

Why Zero is Even
Division : By definition, an even number is divisible by
2, with no remainder. 0/2 = 0 with no remainder.
Number Line : on the integer number line, even and odd
numbers alternate, and any odd number increased or reduced by 1 is
an even number.
Addition : additive rules state that even + even = even,
and odd + odd = even. Under these rules, zero can be even, but
cannot be odd.
With the obvious solution n=0, zero fits the criteria that for
any integer n, the integer 2n is even. (multiplication or division
by 2)