# Divisors of 509

## Divisors of 509

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

Accordingly:

509 is multiplo of 1

509 has 1 positive divisors

## Parity of 509

509is an odd number,as it is not divisible by 2

## The factors for 509

The factors for 509 are all the numbers between -509 and 509 , which divide 509 without leaving any remainder. Since 509 divided by -509 is an integer, -509 is a factor of 509 .

Since 509 divided by -509 is a whole number, -509 is a factor of 509

Since 509 divided by -1 is a whole number, -1 is a factor of 509

Since 509 divided by 1 is a whole number, 1 is a factor of 509

## What are the multiples of 509?

Multiples of 509 are all integers divisible by 509 , i.e. the remainder of the full division by 509 is zero. There are infinite multiples of 509. The smallest multiples of 509 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 509 since 0 × 509 = 0

509 : in fact, 509 is a multiple of itself, since 509 is divisible by 509 (it was 509 / 509 = 1, so the rest of this division is zero)

1018: in fact, 1018 = 509 × 2

1527: in fact, 1527 = 509 × 3

2036: in fact, 2036 = 509 × 4

2545: in fact, 2545 = 509 × 5

etc.

## Is 509 a prime number?

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

for 509, the answer is: yes, 509 is a prime number because it only has two different divisors: 1 and itself (509).

## 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 509). 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 22.561 ). 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.