# Divisors of 829

## Divisors of 829

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

Accordingly:

829 is multiplo of 1

829 has 1 positive divisors

## Parity of 829

829is an odd number,as it is not divisible by 2

## The factors for 829

The factors for 829 are all the numbers between -829 and 829 , which divide 829 without leaving any remainder. Since 829 divided by -829 is an integer, -829 is a factor of 829 .

Since 829 divided by -829 is a whole number, -829 is a factor of 829

Since 829 divided by -1 is a whole number, -1 is a factor of 829

Since 829 divided by 1 is a whole number, 1 is a factor of 829

## What are the multiples of 829?

Multiples of 829 are all integers divisible by 829 , i.e. the remainder of the full division by 829 is zero. There are infinite multiples of 829. The smallest multiples of 829 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 829 since 0 × 829 = 0

829 : in fact, 829 is a multiple of itself, since 829 is divisible by 829 (it was 829 / 829 = 1, so the rest of this division is zero)

1658: in fact, 1658 = 829 × 2

2487: in fact, 2487 = 829 × 3

3316: in fact, 3316 = 829 × 4

4145: in fact, 4145 = 829 × 5

etc.

## Is 829 a prime number?

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

for 829, the answer is: yes, 829 is a prime number because it only has two different divisors: 1 and itself (829).

## 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 829). 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 28.792 ). 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.