# What is an integer?

The integers are a set of numbers consisting of all negative whole numbers, all positive whole numbers, and zero. These are a subset of the real numbers.

## Quick facts about the integers

Many problems in mathematics involve working with integers. The following are some quick facts about this set of numbers.

• Zero is an integer.
• All even and positive numbers are integers (since they are whole numbers).
• The product of two integers is an integer.
• The sum or difference of two integers is an integer.
• The symbol $$\mathbb{Z}$$ is often used to represent the set of integers.