# Divisors of 508

## Divisors of 508

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

Accordingly:

508 is multiplo of 1

508 is multiplo of 2

508 is multiplo of 4

508 is multiplo of 127

508 is multiplo of 254

508 has 5 positive divisors

## Parity of 508

In addition we can say of the number 508 that it is even

508 is an even number, as it is divisible by 2 : 508/2 = 254

## The factors for 508

The factors for 508 are all the numbers between -508 and 508 , which divide 508 without leaving any remainder. Since 508 divided by -508 is an integer, -508 is a factor of 508 .

Since 508 divided by -508 is a whole number, -508 is a factor of 508

Since 508 divided by -254 is a whole number, -254 is a factor of 508

Since 508 divided by -127 is a whole number, -127 is a factor of 508

Since 508 divided by -4 is a whole number, -4 is a factor of 508

Since 508 divided by -2 is a whole number, -2 is a factor of 508

Since 508 divided by -1 is a whole number, -1 is a factor of 508

Since 508 divided by 1 is a whole number, 1 is a factor of 508

Since 508 divided by 2 is a whole number, 2 is a factor of 508

Since 508 divided by 4 is a whole number, 4 is a factor of 508

Since 508 divided by 127 is a whole number, 127 is a factor of 508

Since 508 divided by 254 is a whole number, 254 is a factor of 508

## What are the multiples of 508?

Multiples of 508 are all integers divisible by 508 , i.e. the remainder of the full division by 508 is zero. There are infinite multiples of 508. The smallest multiples of 508 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 508 since 0 × 508 = 0

508 : in fact, 508 is a multiple of itself, since 508 is divisible by 508 (it was 508 / 508 = 1, so the rest of this division is zero)

1016: in fact, 1016 = 508 × 2

1524: in fact, 1524 = 508 × 3

2032: in fact, 2032 = 508 × 4

2540: in fact, 2540 = 508 × 5

etc.

## Is 508 a prime number?

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

for 508, the answer is: No, 508 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 508). 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 22.539 ). 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.