# Divisors of 2137

## Divisors of 2137

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

• 1
• 2137

Accordingly:

2137 is multiplo of 1

2137 has 1 positive divisors

## Parity of 2137

2137is an odd number,as it is not divisible by 2

## The factors for 2137

The factors for 2137 are all the numbers between -2137 and 2137 , which divide 2137 without leaving any remainder. Since 2137 divided by -2137 is an integer, -2137 is a factor of 2137 .

Since 2137 divided by -2137 is a whole number, -2137 is a factor of 2137

Since 2137 divided by -1 is a whole number, -1 is a factor of 2137

Since 2137 divided by 1 is a whole number, 1 is a factor of 2137

## What are the multiples of 2137?

Multiples of 2137 are all integers divisible by 2137 , i.e. the remainder of the full division by 2137 is zero. There are infinite multiples of 2137. The smallest multiples of 2137 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 2137 since 0 × 2137 = 0

2137 : in fact, 2137 is a multiple of itself, since 2137 is divisible by 2137 (it was 2137 / 2137 = 1, so the rest of this division is zero)

4274: in fact, 4274 = 2137 × 2

6411: in fact, 6411 = 2137 × 3

8548: in fact, 8548 = 2137 × 4

10685: in fact, 10685 = 2137 × 5

etc.

## Is 2137 a prime number?

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

for 2137, the answer is: yes, 2137 is a prime number because it only has two different divisors: 1 and itself (2137).

## 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 2137). 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 46.228 ). 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.