How is an odd number defined?

An odd number is defined as any integer that cannot be evenly divided by 2. This means that when you take an odd number and divide it by 2, there will always be a remainder of 1. For example, if you take the number 3, dividing it by 2 yields 1 with a remainder of 1, confirming it is odd.

In contrast, an even number is defined as any integer that can be evenly divided by 2, resulting in a whole number. This definition highlights the distinctive property of odd numbers in relation to division by 2.

Other definitions provided do not appropriately capture the essence of what an odd number is. An integer that can be evenly divided by any number refers instead to numbers that are multiples of those numbers, while a whole number greater than zero includes both odd and even numbers without specification. Thus, the correct definition focuses solely on the inability to be evenly divided by 2.