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.

the set of integers which contain all negative and positive whole numbers along with zero: {...,-3,-2,-1,0,1,2,3,...}

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.