English Reference

Word

integer

Phoneticsin·te·ger, stress on the first syllable

US/ˈɪntədʒɝ/

UK/ˈɪntɪdʒɐ/

Countable noun Mathematics

Definition

n. a whole number that does not have a fraction or a decimal part. It can be positive, negative, or zero.

n. a member of the set of whole numbers, including zero and negative equivalents. Contrasted with fractions and irrational numbers.

Examples

“The number five is an integer, but five point five is not.”

“When writing the code, ensure the variable only accepts an integer to avoid errors with decimal points.”

“In many programming languages, dividing one integer by another will result in a truncated whole number unless the programmer specifies a floating-point output.”

Examples

simple

“The number five is an integer, but five point five is not.”

contextual

“When writing the code, ensure the variable only accepts an integer to avoid errors with decimal points.”

complex

“In many programming languages, dividing one integer by another will result in a truncated whole number unless the programmer specifies a floating-point output.”

Usage

Commonly used in mathematical and computing contexts; often paired with 'positive', 'negative', or 'consecutive'.

Real-World Examples

“One of those is prime factorization; in other words, it's breaking an integer into a product of prime numbers (i.e., integers greater than 1 that are divisible only by 1 and themselves).”
Phys.org 2 Oct 2026
“Its irrationality means that π can't be represented as a fraction (or the ratio of two integers (whole numbers) hence the name ir ratio nal).”
BBC 14 Mar 2024
“All real numbers that cannot be represented by a fraction of two integers are irrational.”
Scientific American 23 May 2023

Etymology

Borrowed from Latin integer (“whole”), from Proto-Italic *əntagros (“untouched”). Doublet of entier and entire. Related to English tact, thack, and thwack.

Etymology adapted from Wiktionary, available under CC BY-SA 4.0.

Domain

Mathematics

This entry

Exam level
CambridgeCambridgeCambridge English QualificationsThe exam suite from Cambridge University Press & Assessment, from A1 Movers up to C2 Proficiency. The benchmark names double as CEFR labels.C1 AdvancedIELTSIELTSInternational English Language Testing SystemThe 0–9 band test co-owned by the British Council, IDP, and Cambridge. Used for university entry, work, and migration.7.0–8.0TOEFL iBTTOEFL iBTTest of English as a Foreign Language, Internet-Based TestETS's academic English test, the standard route for US university admissions. Scored 0–120, with a 1–6 scale since 2026.1–6 scale: 5.0–5.595–113TOEICTOEICTest of English for International CommunicationETS's workplace English test, big in Japan and Korea. Listening & Reading scores 10–990 and tops out at C1.945–990
Frequency
Frequent
Level
C1 · Advanced
Updated

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English Reference