# Divisors of 504

## Divisors of 504

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

Accordingly:

504 is multiplo of 1

504 is multiplo of 2

504 is multiplo of 3

504 is multiplo of 4

504 is multiplo of 6

504 is multiplo of 7

504 is multiplo of 8

504 is multiplo of 9

504 is multiplo of 12

504 is multiplo of 14

504 is multiplo of 18

504 is multiplo of 21

504 is multiplo of 24

504 is multiplo of 28

504 is multiplo of 36

504 is multiplo of 42

504 is multiplo of 56

504 is multiplo of 63

504 is multiplo of 72

504 is multiplo of 84

504 is multiplo of 126

504 is multiplo of 168

504 is multiplo of 252

504 has 23 positive divisors

## Parity of 504

In addition we can say of the number 504 that it is even

504 is an even number, as it is divisible by 2 : 504/2 = 252

## The factors for 504

The factors for 504 are all the numbers between -504 and 504 , which divide 504 without leaving any remainder. Since 504 divided by -504 is an integer, -504 is a factor of 504 .

Since 504 divided by -504 is a whole number, -504 is a factor of 504

Since 504 divided by -252 is a whole number, -252 is a factor of 504

Since 504 divided by -168 is a whole number, -168 is a factor of 504

Since 504 divided by -126 is a whole number, -126 is a factor of 504

Since 504 divided by -84 is a whole number, -84 is a factor of 504

Since 504 divided by -72 is a whole number, -72 is a factor of 504

Since 504 divided by -63 is a whole number, -63 is a factor of 504

Since 504 divided by -56 is a whole number, -56 is a factor of 504

Since 504 divided by -42 is a whole number, -42 is a factor of 504

Since 504 divided by -36 is a whole number, -36 is a factor of 504

Since 504 divided by -28 is a whole number, -28 is a factor of 504

Since 504 divided by -24 is a whole number, -24 is a factor of 504

Since 504 divided by -21 is a whole number, -21 is a factor of 504

Since 504 divided by -18 is a whole number, -18 is a factor of 504

Since 504 divided by -14 is a whole number, -14 is a factor of 504

Since 504 divided by -12 is a whole number, -12 is a factor of 504

Since 504 divided by -9 is a whole number, -9 is a factor of 504

Since 504 divided by -8 is a whole number, -8 is a factor of 504

Since 504 divided by -7 is a whole number, -7 is a factor of 504

Since 504 divided by -6 is a whole number, -6 is a factor of 504

Since 504 divided by -4 is a whole number, -4 is a factor of 504

Since 504 divided by -3 is a whole number, -3 is a factor of 504

Since 504 divided by -2 is a whole number, -2 is a factor of 504

Since 504 divided by -1 is a whole number, -1 is a factor of 504

Since 504 divided by 1 is a whole number, 1 is a factor of 504

Since 504 divided by 2 is a whole number, 2 is a factor of 504

Since 504 divided by 3 is a whole number, 3 is a factor of 504

Since 504 divided by 4 is a whole number, 4 is a factor of 504

Since 504 divided by 6 is a whole number, 6 is a factor of 504

Since 504 divided by 7 is a whole number, 7 is a factor of 504

Since 504 divided by 8 is a whole number, 8 is a factor of 504

Since 504 divided by 9 is a whole number, 9 is a factor of 504

Since 504 divided by 12 is a whole number, 12 is a factor of 504

Since 504 divided by 14 is a whole number, 14 is a factor of 504

Since 504 divided by 18 is a whole number, 18 is a factor of 504

Since 504 divided by 21 is a whole number, 21 is a factor of 504

Since 504 divided by 24 is a whole number, 24 is a factor of 504

Since 504 divided by 28 is a whole number, 28 is a factor of 504

Since 504 divided by 36 is a whole number, 36 is a factor of 504

Since 504 divided by 42 is a whole number, 42 is a factor of 504

Since 504 divided by 56 is a whole number, 56 is a factor of 504

Since 504 divided by 63 is a whole number, 63 is a factor of 504

Since 504 divided by 72 is a whole number, 72 is a factor of 504

Since 504 divided by 84 is a whole number, 84 is a factor of 504

Since 504 divided by 126 is a whole number, 126 is a factor of 504

Since 504 divided by 168 is a whole number, 168 is a factor of 504

Since 504 divided by 252 is a whole number, 252 is a factor of 504

## What are the multiples of 504?

Multiples of 504 are all integers divisible by 504 , i.e. the remainder of the full division by 504 is zero. There are infinite multiples of 504. The smallest multiples of 504 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 504 since 0 × 504 = 0

504 : in fact, 504 is a multiple of itself, since 504 is divisible by 504 (it was 504 / 504 = 1, so the rest of this division is zero)

1008: in fact, 1008 = 504 × 2

1512: in fact, 1512 = 504 × 3

2016: in fact, 2016 = 504 × 4

2520: in fact, 2520 = 504 × 5

etc.

## Is 504 a prime number?

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

for 504, the answer is: No, 504 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 504). 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 22.45 ). 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.