# Divisors of 507

## Divisors of 507

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

Accordingly:

507 is multiplo of 1

507 is multiplo of 3

507 is multiplo of 13

507 is multiplo of 39

507 is multiplo of 169

507 has 5 positive divisors

## Parity of 507

507is an odd number,as it is not divisible by 2

## The factors for 507

The factors for 507 are all the numbers between -507 and 507 , which divide 507 without leaving any remainder. Since 507 divided by -507 is an integer, -507 is a factor of 507 .

Since 507 divided by -507 is a whole number, -507 is a factor of 507

Since 507 divided by -169 is a whole number, -169 is a factor of 507

Since 507 divided by -39 is a whole number, -39 is a factor of 507

Since 507 divided by -13 is a whole number, -13 is a factor of 507

Since 507 divided by -3 is a whole number, -3 is a factor of 507

Since 507 divided by -1 is a whole number, -1 is a factor of 507

Since 507 divided by 1 is a whole number, 1 is a factor of 507

Since 507 divided by 3 is a whole number, 3 is a factor of 507

Since 507 divided by 13 is a whole number, 13 is a factor of 507

Since 507 divided by 39 is a whole number, 39 is a factor of 507

Since 507 divided by 169 is a whole number, 169 is a factor of 507

## What are the multiples of 507?

Multiples of 507 are all integers divisible by 507 , i.e. the remainder of the full division by 507 is zero. There are infinite multiples of 507. The smallest multiples of 507 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 507 since 0 × 507 = 0

507 : in fact, 507 is a multiple of itself, since 507 is divisible by 507 (it was 507 / 507 = 1, so the rest of this division is zero)

1014: in fact, 1014 = 507 × 2

1521: in fact, 1521 = 507 × 3

2028: in fact, 2028 = 507 × 4

2535: in fact, 2535 = 507 × 5

etc.

## Is 507 a prime number?

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

for 507, the answer is: No, 507 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 507). 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 22.517 ). 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.