# Divisors of 584

## Divisors of 584

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

Accordingly:

584 is multiplo of 1

584 is multiplo of 2

584 is multiplo of 4

584 is multiplo of 8

584 is multiplo of 73

584 is multiplo of 146

584 is multiplo of 292

584 has 7 positive divisors

## Parity of 584

In addition we can say of the number 584 that it is even

584 is an even number, as it is divisible by 2 : 584/2 = 292

## The factors for 584

The factors for 584 are all the numbers between -584 and 584 , which divide 584 without leaving any remainder. Since 584 divided by -584 is an integer, -584 is a factor of 584 .

Since 584 divided by -584 is a whole number, -584 is a factor of 584

Since 584 divided by -292 is a whole number, -292 is a factor of 584

Since 584 divided by -146 is a whole number, -146 is a factor of 584

Since 584 divided by -73 is a whole number, -73 is a factor of 584

Since 584 divided by -8 is a whole number, -8 is a factor of 584

Since 584 divided by -4 is a whole number, -4 is a factor of 584

Since 584 divided by -2 is a whole number, -2 is a factor of 584

Since 584 divided by -1 is a whole number, -1 is a factor of 584

Since 584 divided by 1 is a whole number, 1 is a factor of 584

Since 584 divided by 2 is a whole number, 2 is a factor of 584

Since 584 divided by 4 is a whole number, 4 is a factor of 584

Since 584 divided by 8 is a whole number, 8 is a factor of 584

Since 584 divided by 73 is a whole number, 73 is a factor of 584

Since 584 divided by 146 is a whole number, 146 is a factor of 584

Since 584 divided by 292 is a whole number, 292 is a factor of 584

## What are the multiples of 584?

Multiples of 584 are all integers divisible by 584 , i.e. the remainder of the full division by 584 is zero. There are infinite multiples of 584. The smallest multiples of 584 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 584 since 0 × 584 = 0

584 : in fact, 584 is a multiple of itself, since 584 is divisible by 584 (it was 584 / 584 = 1, so the rest of this division is zero)

1168: in fact, 1168 = 584 × 2

1752: in fact, 1752 = 584 × 3

2336: in fact, 2336 = 584 × 4

2920: in fact, 2920 = 584 × 5

etc.

## Is 584 a prime number?

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

for 584, the answer is: No, 584 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 584). 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 24.166 ). 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.