What number is both odd and even?

Answer 1

No number can be both odd and even. In mathematics, odd numbers are integers that are not divisible by 2, while even numbers are integers that are divisible by 2. Since these definitions are mutually exclusive, a number cannot be both odd and even simultaneously.

Answer 2

There is no number that is both even (divisible by 2) and odd (not divisible by 2).

Even numbers are of the form 2m for all integer m;

Odd numbers are of the form 2n + 1 for all integer n;

Assume there is an even number is also an odd number, then for some integer m and n:

2m = 2n + 1

� 2m - 2n = 1

� 2(m - n) = 1

� m - n = 1/2

But as m and n are both integers, their difference cannot be a fraction.

Thus there are no integer m and n that satisfy 2m = 2n + 1, which means that the original assumption that there is an even number that is also an odd number is false.

Thus there is no number that is both even and odd.

This question is actually a riddle. The answer is 6 or 9, since flipping either number will give you the other.

Answer 3

It is a trick question. The answer is 2. 2 is an even number. 2 is also a Prime number but the only even prime number making it odd.

Answer 4

It is a trick question. The answer is 2. 2 is an even number. 2 is also a prime number but the only even prime number making it odd.

Answer 5

There is no such number.