Integers are a set of numbers that include all the natural numbers (0, 1, 2, 3, 4, and so on) and their negatives. Integers include positive and negative numbers and zero (zero is neither positive nor negative). An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21 , 4 , 0 , and -2048 are integers.