divisor

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

   In "42 ÷ 3" the divisor is the 3.

   Divisor, Teiler

   дели́тельdelítelʹ

   дільни́кdilʹnýk

   the number by which a dividend is divided

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.

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

   Teiler

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

   (broadly)A 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.

4. 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.

   An element of the free abelian group on the points of the space.

5. A Weil divisor: an element of the free abelian group on the codimension-1 subvarieties (or subschemes).

6. A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia

1. The greatest common divisor of six and ten is two.

   ruНаибольший общий делитель шести и десяти – два.

   deDer größte gemeinsame Teiler von sechs und zehn ist zwei.

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2. Among the divisors of 90, how many numbers are not divisible by 9?

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3. Premodernism was the divisor of the waters between these two movements.

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4. Two hundred and forty is the smallest natural number that has exactly twenty distinct natural divisors.

   ruДвести сорок – наименьшее натуральное число, имеющее ровно двадцать различных натуральных делителей.

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5. A prime number is a positive integer that has exactly two distinct natural divisors (one and itself).

   ruПростым числом называется целое положительное число, имеющее ровно два различных натуральных делителя (единицу и себя самого).

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regular