# Divisors of 337

## Divisors of 337

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

Accordingly:

337 is multiplo of 1

337 has 1 positive divisors

## Parity of 337

337is an odd number,as it is not divisible by 2

## The factors for 337

The factors for 337 are all the numbers between -337 and 337 , which divide 337 without leaving any remainder. Since 337 divided by -337 is an integer, -337 is a factor of 337 .

Since 337 divided by -337 is a whole number, -337 is a factor of 337

Since 337 divided by -1 is a whole number, -1 is a factor of 337

Since 337 divided by 1 is a whole number, 1 is a factor of 337

## What are the multiples of 337?

Multiples of 337 are all integers divisible by 337 , i.e. the remainder of the full division by 337 is zero. There are infinite multiples of 337. The smallest multiples of 337 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 337 since 0 × 337 = 0

337 : in fact, 337 is a multiple of itself, since 337 is divisible by 337 (it was 337 / 337 = 1, so the rest of this division is zero)

674: in fact, 674 = 337 × 2

1011: in fact, 1011 = 337 × 3

1348: in fact, 1348 = 337 × 4

1685: in fact, 1685 = 337 × 5

etc.

## Is 337 a prime number?

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

for 337, the answer is: yes, 337 is a prime number because it only has two different divisors: 1 and itself (337).

## 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 337). 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 18.358 ). 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.