aliquant part
Definition
Noun: An aliquant part is a number that does not divide another number evenly; it is an integer that, when used as a divisor of a given quantity, leaves a remainder. It is the opposite of an aliquot part.
Usage
The term is used primarily in mathematics, specifically in number theory and arithmetic, to describe a divisibility relationship. It is a formal term.
Examples
- Five is an aliquant part of twelve, because 12 ÷ 5 = 2 with a remainder of 2.
- When examining the divisors of 18, the numbers 4, 5, and 7 are all aliquant parts.
Advanced Usage
- The concept is often used in contrast with "aliquot part" (or aliquot divisor). An divides a number exactly, while an aliquant part does not.
- The term can be used in historical or pedagogical contexts to explain fundamental properties of integers and division.
Variants and Related Words
- Aliquant (adjective): Serving as an aliquant part. (e.g., "5 is an aliquant divisor of 12.")
- Aliquot part (noun): An integer that is an exact divisor of a quantity. (e.g., "3 is an aliquot part of 12.")
Synonyms
- Non-divisor
- Non-aliquot part
Antonyms
- Divisor
- Factor
- Aliquot part
- Submultiple
Noun
-
an integer that is not an exact divisor of some quantity
-
5 is an aliquant part of 12
-
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