# Divisors of 3389

## Divisors of 3389

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

• 1
• 3389

Accordingly:

3389 is multiplo of 1

3389 has 1 positive divisors

## Parity of 3389

3389is an odd number,as it is not divisible by 2

## The factors for 3389

The factors for 3389 are all the numbers between -3389 and 3389 , which divide 3389 without leaving any remainder. Since 3389 divided by -3389 is an integer, -3389 is a factor of 3389 .

Since 3389 divided by -3389 is a whole number, -3389 is a factor of 3389

Since 3389 divided by -1 is a whole number, -1 is a factor of 3389

Since 3389 divided by 1 is a whole number, 1 is a factor of 3389

## What are the multiples of 3389?

Multiples of 3389 are all integers divisible by 3389 , i.e. the remainder of the full division by 3389 is zero. There are infinite multiples of 3389. The smallest multiples of 3389 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3389 since 0 × 3389 = 0

3389 : in fact, 3389 is a multiple of itself, since 3389 is divisible by 3389 (it was 3389 / 3389 = 1, so the rest of this division is zero)

6778: in fact, 6778 = 3389 × 2

10167: in fact, 10167 = 3389 × 3

13556: in fact, 13556 = 3389 × 4

16945: in fact, 16945 = 3389 × 5

etc.

## Is 3389 a prime number?

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

for 3389, the answer is: yes, 3389 is a prime number because it only has two different divisors: 1 and itself (3389).

## 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 3389). 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 58.215 ). 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.