# Divisors of 3137

## Divisors of 3137

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

• 1
• 3137

Accordingly:

3137 is multiplo of 1

3137 has 1 positive divisors

## Parity of 3137

3137is an odd number,as it is not divisible by 2

## The factors for 3137

The factors for 3137 are all the numbers between -3137 and 3137 , which divide 3137 without leaving any remainder. Since 3137 divided by -3137 is an integer, -3137 is a factor of 3137 .

Since 3137 divided by -3137 is a whole number, -3137 is a factor of 3137

Since 3137 divided by -1 is a whole number, -1 is a factor of 3137

Since 3137 divided by 1 is a whole number, 1 is a factor of 3137

## What are the multiples of 3137?

Multiples of 3137 are all integers divisible by 3137 , i.e. the remainder of the full division by 3137 is zero. There are infinite multiples of 3137. The smallest multiples of 3137 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3137 since 0 × 3137 = 0

3137 : in fact, 3137 is a multiple of itself, since 3137 is divisible by 3137 (it was 3137 / 3137 = 1, so the rest of this division is zero)

6274: in fact, 6274 = 3137 × 2

9411: in fact, 9411 = 3137 × 3

12548: in fact, 12548 = 3137 × 4

15685: in fact, 15685 = 3137 × 5

etc.

## Is 3137 a prime number?

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

for 3137, the answer is: yes, 3137 is a prime number because it only has two different divisors: 1 and itself (3137).

## 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 3137). 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 56.009 ). 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.

## Numbers about 3137

Previous Numbers: ... 3135, 3136

Next Numbers: 3138, 3139 ...

## Prime numbers closer to 3137

Previous prime number: 3121

Next prime number: 3163