# Divisors of 15937

## Divisors of 15937

The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :

• 1
• 15937

Accordingly:

15937 is multiplo of 1

15937 has 1 positive divisors

## Parity of 15937

15937is an odd number,as it is not divisible by 2

## The factors for 15937

The factors for 15937 are all the numbers between -15937 and 15937 , which divide 15937 without leaving any remainder. Since 15937 divided by -15937 is an integer, -15937 is a factor of 15937 .

Since 15937 divided by -15937 is a whole number, -15937 is a factor of 15937

Since 15937 divided by -1 is a whole number, -1 is a factor of 15937

Since 15937 divided by 1 is a whole number, 1 is a factor of 15937

## What are the multiples of 15937?

Multiples of 15937 are all integers divisible by 15937 , i.e. the remainder of the full division by 15937 is zero. There are infinite multiples of 15937. The smallest multiples of 15937 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 15937 since 0 × 15937 = 0

15937 : in fact, 15937 is a multiple of itself, since 15937 is divisible by 15937 (it was 15937 / 15937 = 1, so the rest of this division is zero)

31874: in fact, 31874 = 15937 × 2

47811: in fact, 47811 = 15937 × 3

63748: in fact, 63748 = 15937 × 4

79685: in fact, 79685 = 15937 × 5

etc.

## Is 15937 a prime number?

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 15937, the answer is: yes, 15937 is a prime number because it only has two different divisors: 1 and itself (15937).

## How do you determine if a number is prime?

To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 15937). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 126.242 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.

More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.