divisor

plural divisors

1. arithmeticIn an expression involving division, the number by which another number is being divided.

   In "42 ÷ 3" the divisor is the 3.

2. An integer that divides another integer an integral number of times, the former being called a divisor of the latter.

   10 is a divisor of 100, but not of 101.

   1 more example

   The positive divisors of 6 are 1, 2, 3 and 6.

   1. broadlyalgebraA ring element which can be multiplied (by some other ring element) to yield a third ring element, the first being called a divisor of the third. If the ring is noncommutative, then one specifies whether a divisor is left, right, or two-sided.
3. Any of several kinds of formal object associated to an algebraic variety, scheme, etc., which play a role similar to that of homology or cohomology groups in the study of topological spaces.
   1. algebraic geometryAn element of the free abelian group on the points of the space.
   2. on a variety (or integral locally Noetherian scheme)algebraic geometryA Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes).
   3. on a variety (or integral Noetherian scheme)algebraic geometryA Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia