# Divisors of 289

## Divisors of 289

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

Accordingly:

289 is multiplo of 1

289 is multiplo of 17

289 has 2 positive divisors

## Parity of 289

289is an odd number,as it is not divisible by 2

## The factors for 289

The factors for 289 are all the numbers between -289 and 289 , which divide 289 without leaving any remainder. Since 289 divided by -289 is an integer, -289 is a factor of 289 .

Since 289 divided by -289 is a whole number, -289 is a factor of 289

Since 289 divided by -17 is a whole number, -17 is a factor of 289

Since 289 divided by -1 is a whole number, -1 is a factor of 289

Since 289 divided by 1 is a whole number, 1 is a factor of 289

Since 289 divided by 17 is a whole number, 17 is a factor of 289

## What are the multiples of 289?

Multiples of 289 are all integers divisible by 289 , i.e. the remainder of the full division by 289 is zero. There are infinite multiples of 289. The smallest multiples of 289 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 289 since 0 × 289 = 0

289 : in fact, 289 is a multiple of itself, since 289 is divisible by 289 (it was 289 / 289 = 1, so the rest of this division is zero)

578: in fact, 578 = 289 × 2

867: in fact, 867 = 289 × 3

1156: in fact, 1156 = 289 × 4

1445: in fact, 1445 = 289 × 5

etc.

## Is 289 a prime number?

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

for 289, the answer is: No, 289 is not a prime number.

## 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 289). 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 17 ). 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.