What does integer mean?
An integer is a mathematical number with no fractional part. The term includes zero, positive numbers, and negative numbers, so it is broader than the term natural number, which in common mathematical use often refers only to the positive counting numbers. In computing, an integer stores a whole-number value rather than a decimal or fractional quantity, and programmers must often specify whether the value is signed, unsigned, or limited to a particular range of numbers. The word also functions as an adjective in phrases such as integer arithmetic and integer value. Although 'whole number' is a common explanatory alternative, 'integer' is the more technical term and is especially useful in mathematics, statistics, programming, and data processing. Its Latin origin connects it with words such as integral, integrity, integrate, and entire, all reflecting the idea of something whole or undivided.
A mathematical number with no fractional part, including zero and negative as well as positive numbers.
"The equation requires the answer to be an integer."
Relating to or consisting of a whole number; integral.
"The function performs integer calculations on each pixel."
The plural 'integers' is used for more than one whole number and is common in mathematical and technical writing.
"The set contains all integers between negative ten and ten."
Integer comes from Latin for 'whole' and 'untouched'—the same idea behind integrity and integral.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does integer come from?
The word comes from the Latin adjective integer, meaning 'whole,' 'entire,' or 'untouched.' It entered English in the early 17th century, initially in mathematical contexts. Its Latin relatives include integral, integrity, integrate, and the English word entire, which developed through Old French.
Related word forms
How integer is actually used
In mathematics and computing, 'integer' is formal and precise. It is not a general substitute for 'complete' or 'entire,' although the related adjective can occur in specialized mathematical contexts.
Easily confused with integer
An integer is a mathematical whole number, while an integral can also refer to the whole or complete and may describe a function or calculation involving continuous quantities.