# Divisors of 9739

## Divisors of 9739

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

• 1
• 9739

Accordingly:

9739 is multiplo of 1

9739 has 1 positive divisors

## Parity of 9739

9739is an odd number,as it is not divisible by 2

## The factors for 9739

The factors for 9739 are all the numbers between -9739 and 9739 , which divide 9739 without leaving any remainder. Since 9739 divided by -9739 is an integer, -9739 is a factor of 9739 .

Since 9739 divided by -9739 is a whole number, -9739 is a factor of 9739

Since 9739 divided by -1 is a whole number, -1 is a factor of 9739

Since 9739 divided by 1 is a whole number, 1 is a factor of 9739

## What are the multiples of 9739?

Multiples of 9739 are all integers divisible by 9739 , i.e. the remainder of the full division by 9739 is zero. There are infinite multiples of 9739. The smallest multiples of 9739 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9739 since 0 × 9739 = 0

9739 : in fact, 9739 is a multiple of itself, since 9739 is divisible by 9739 (it was 9739 / 9739 = 1, so the rest of this division is zero)

19478: in fact, 19478 = 9739 × 2

29217: in fact, 29217 = 9739 × 3

38956: in fact, 38956 = 9739 × 4

48695: in fact, 48695 = 9739 × 5

etc.

## Is 9739 a prime number?

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

for 9739, the answer is: yes, 9739 is a prime number because it only has two different divisors: 1 and itself (9739).

## 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 9739). 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 98.686 ). 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.