What Is a List of Odd Numbers?

By Staff WriterLast Updated Apr 10, 2020 7:24:22 AM ET

A list of odd numbers is a list of numbers that all have a remainder of 1 when divided by 2. The following is an example of a list of odd numbers: 1, 3, 5, 7, 9, 11, 13 15, 17, 19 and 21.

One of the most memorable math lessons from elementary school is learning about even and odd numbers. Identifying even and odd numbers introduces children to the patterns of objects and numbers. The parity of a number is its attribute being even or odd. The numbers 260 and -454 have the same parity because they are both even. In computers "parity bits" are used to determine whether data has been lost or written over when it is moved from one place in storage to another or when transmitted between computers.

An even number is any positive or negative number that can be divided exactly by 2. An odd number is any number that is not an even number. Or stated positively, an odd number is a number that has a remainder of 1 when divided by 2. A list of odd numbers is 23, 59, -81, -37 and -75. Every number having 2, 4, 6, 8 and 0 at its one’s place is divisible by 2 and, hence, an even number. No number having 3, 5, 7 and 9 at its one's place is divisible by 2 and is an odd number. Algebraically, an odd number is a positive or negative number of the form n=2k+1, where k is the number.