divisor

Also known as factor, submultiple, divisibility, integer divisibility, divisibility of integers, divisible by

thumb|The divisors of 10 illustrated with Cuisenaire rods: 1, 2, 5, and 10

AI overview

A divisor is a number that divides evenly into another number with no remainder—for example, 1, 2, 5, and 10 are all divisors of 10. Understanding divisors is useful in mathematics because they help us break numbers into equal parts, find common factors between numbers, and solve practical problems involving sharing or grouping.

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Image: Cuisenaire ten.JPG

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~6 min read

Article

11 sections

Contents

Definition
General
Examples
Further notions and facts
In abstract algebra
Ring theory
Division lattice
See also
Notes
Citations
References

thumb|The divisors of 10 illustrated with Cuisenaire rods: 1, 2, 5, and 10

In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.