# Divisors of 709

## Divisors of 709

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

Accordingly:

709 is multiplo of 1

709 has 1 positive divisors

## Parity of 709

709is an odd number,as it is not divisible by 2

## The factors for 709

The factors for 709 are all the numbers between -709 and 709 , which divide 709 without leaving any remainder. Since 709 divided by -709 is an integer, -709 is a factor of 709 .

Since 709 divided by -709 is a whole number, -709 is a factor of 709

Since 709 divided by -1 is a whole number, -1 is a factor of 709

Since 709 divided by 1 is a whole number, 1 is a factor of 709

## What are the multiples of 709?

Multiples of 709 are all integers divisible by 709 , i.e. the remainder of the full division by 709 is zero. There are infinite multiples of 709. The smallest multiples of 709 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 709 since 0 × 709 = 0

709 : in fact, 709 is a multiple of itself, since 709 is divisible by 709 (it was 709 / 709 = 1, so the rest of this division is zero)

1418: in fact, 1418 = 709 × 2

2127: in fact, 2127 = 709 × 3

2836: in fact, 2836 = 709 × 4

3545: in fact, 3545 = 709 × 5

etc.

## Is 709 a prime number?

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

for 709, the answer is: yes, 709 is a prime number because it only has two different divisors: 1 and itself (709).

## 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 709). 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 26.627 ). 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.