# Divisors of 513

## Divisors of 513

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

Accordingly:

513 is multiplo of 1

513 is multiplo of 3

513 is multiplo of 9

513 is multiplo of 19

513 is multiplo of 27

513 is multiplo of 57

513 is multiplo of 171

513 has 7 positive divisors

## Parity of 513

513is an odd number,as it is not divisible by 2

## The factors for 513

The factors for 513 are all the numbers between -513 and 513 , which divide 513 without leaving any remainder. Since 513 divided by -513 is an integer, -513 is a factor of 513 .

Since 513 divided by -513 is a whole number, -513 is a factor of 513

Since 513 divided by -171 is a whole number, -171 is a factor of 513

Since 513 divided by -57 is a whole number, -57 is a factor of 513

Since 513 divided by -27 is a whole number, -27 is a factor of 513

Since 513 divided by -19 is a whole number, -19 is a factor of 513

Since 513 divided by -9 is a whole number, -9 is a factor of 513

Since 513 divided by -3 is a whole number, -3 is a factor of 513

Since 513 divided by -1 is a whole number, -1 is a factor of 513

Since 513 divided by 1 is a whole number, 1 is a factor of 513

Since 513 divided by 3 is a whole number, 3 is a factor of 513

Since 513 divided by 9 is a whole number, 9 is a factor of 513

Since 513 divided by 19 is a whole number, 19 is a factor of 513

Since 513 divided by 27 is a whole number, 27 is a factor of 513

Since 513 divided by 57 is a whole number, 57 is a factor of 513

Since 513 divided by 171 is a whole number, 171 is a factor of 513

## What are the multiples of 513?

Multiples of 513 are all integers divisible by 513 , i.e. the remainder of the full division by 513 is zero. There are infinite multiples of 513. The smallest multiples of 513 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 513 since 0 × 513 = 0

513 : in fact, 513 is a multiple of itself, since 513 is divisible by 513 (it was 513 / 513 = 1, so the rest of this division is zero)

1026: in fact, 1026 = 513 × 2

1539: in fact, 1539 = 513 × 3

2052: in fact, 2052 = 513 × 4

2565: in fact, 2565 = 513 × 5

etc.

## Is 513 a prime number?

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

for 513, the answer is: No, 513 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 513). 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 22.65 ). 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.