An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
Used in a Sentence
divisors
Definitions, parts of speech, synonyms, and sentence examples for divisors.
Editorial note
I guess this means that either it itself is prime, or it has divisors which in turn are either prime or have divisors etc.
Examples16
Definitions4
Parts of speech1
Quick take
An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
Meaning at a glance
The clearest senses and uses of divisors gathered in one view.
(arithmetic) In an expression involving division, the number by which another number is being divided.
(in the study of Riemann surfaces) An element of the free abelian group on the points of the space.
Definitions
Core meanings and parts of speech for divisors.
noun
An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
noun
(arithmetic) In an expression involving division, the number by which another number is being divided.
noun
(in the study of Riemann surfaces) An element of the free abelian group on the points of the space.
noun
(on a variety (or integral Noetherian scheme)) A Cartier divisor; see Cartier divisors on Wikipedia.Wikipedia
Example sentences
I guess this means that either it itself is prime, or it has divisors which in turn are either prime or have divisors etc.
None of these divisors are an initial prime, because then they would also be divisors of p+1, which we have established they are not.
They used the GCD (greatest common divisor) algo to find any common divisors between 2 large keys.
> [...] divisors which in turn are either prime or have divisors etc.
If you have divisors that aren't prime, then keep dividing till you hit some that are.
This proof claims it must include divisors that are prime but are not among those we started with.
If the new number is a prime, all is well and good, but if the number isn't prime, why should it's divisors be?
You shall count only the prime ones, both have only 2 prime divisors.
To get integer solutions, it's enough to try divisors of the constant term.
You've chosen one of the biggest divisors there is for that calculation.
In fact, the CRT works over any ring that has unique factorization and well-behaved divisibility (i.e., greatest common divisors work as in the integers).
You use the algebraic property that x y mod n will generate a shuffle of Zn if y and n are relatively prime (don't share any divisors).
Quote examples
Note that while most compilers already replace fixed-divisor divisions with multiplications, this algorithm presents a more optimized solution for certain "problem" divisors, notably 7.
The important point I was making is that the Montgomery-Granlund work does not rely on "magic numbers" (divisors of 2^B +/- 1).
None of these divisors are an initial prime, because then they would also be divisors of p+1 Let me put it this way: I think I'd score 100% on an exam on this, but I don't " get " it.
A way to put it: p+1 can't be divided by any initial primes; and, if we keep dividing divisors, we eventually can't divide any more, and that's the definition of prime (indivisible "atoms"!).
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use divisors in a sentence?
I guess this means that either it itself is prime, or it has divisors which in turn are either prime or have divisors etc.
What does divisors mean?
An integer that divides another integer an integral number of times, the former being called a divisor of the latter.
What part of speech is divisors?
divisors is commonly used as noun.