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Integer

An integer is a whole number with no fractional part — positive, negative, or zero. Learn the definition, the set of integers, and how they differ from other number types.

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What counts as an integer

Integers extend the counting numbers to include zero and the negatives. They have no decimal or fractional part — 5 and −5 are integers, 5.5 is not.

How integers fit in

Integers sit between whole numbers (which exclude negatives) and rational numbers (which include fractions). Every integer is rational, because it can be written over 1.

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Frequently asked questions

1

What is an integer?

An integer is a whole number — positive, negative, or zero, with no fractional part. The set runs …, −2, −1, 0, 1, 2, …

2

Is zero an integer?

Yes — zero is an integer. It is neither positive nor negative, but it is whole, so it belongs to the set of integers.

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