# Divisors of 691

## Divisors of 691

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

Accordingly:

691 is multiplo of 1

691 has 1 positive divisors

## Parity of 691

691is an odd number,as it is not divisible by 2

## The factors for 691

The factors for 691 are all the numbers between -691 and 691 , which divide 691 without leaving any remainder. Since 691 divided by -691 is an integer, -691 is a factor of 691 .

Since 691 divided by -691 is a whole number, -691 is a factor of 691

Since 691 divided by -1 is a whole number, -1 is a factor of 691

Since 691 divided by 1 is a whole number, 1 is a factor of 691

## What are the multiples of 691?

Multiples of 691 are all integers divisible by 691 , i.e. the remainder of the full division by 691 is zero. There are infinite multiples of 691. The smallest multiples of 691 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 691 since 0 × 691 = 0

691 : in fact, 691 is a multiple of itself, since 691 is divisible by 691 (it was 691 / 691 = 1, so the rest of this division is zero)

1382: in fact, 1382 = 691 × 2

2073: in fact, 2073 = 691 × 3

2764: in fact, 2764 = 691 × 4

3455: in fact, 3455 = 691 × 5

etc.

## Is 691 a prime number?

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

for 691, the answer is: yes, 691 is a prime number because it only has two different divisors: 1 and itself (691).

## 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 691). 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 26.287 ). 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.