# Divisors of 9987

## Divisors of 9987

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

Accordingly:

9987 is multiplo of 1

9987 is multiplo of 3

9987 is multiplo of 3329

9987 has 3 positive divisors

## Parity of 9987

9987is an odd number,as it is not divisible by 2

## The factors for 9987

The factors for 9987 are all the numbers between -9987 and 9987 , which divide 9987 without leaving any remainder. Since 9987 divided by -9987 is an integer, -9987 is a factor of 9987 .

Since 9987 divided by -9987 is a whole number, -9987 is a factor of 9987

Since 9987 divided by -3329 is a whole number, -3329 is a factor of 9987

Since 9987 divided by -3 is a whole number, -3 is a factor of 9987

Since 9987 divided by -1 is a whole number, -1 is a factor of 9987

Since 9987 divided by 1 is a whole number, 1 is a factor of 9987

Since 9987 divided by 3 is a whole number, 3 is a factor of 9987

Since 9987 divided by 3329 is a whole number, 3329 is a factor of 9987

## What are the multiples of 9987?

Multiples of 9987 are all integers divisible by 9987 , i.e. the remainder of the full division by 9987 is zero. There are infinite multiples of 9987. The smallest multiples of 9987 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9987 since 0 × 9987 = 0

9987 : in fact, 9987 is a multiple of itself, since 9987 is divisible by 9987 (it was 9987 / 9987 = 1, so the rest of this division is zero)

19974: in fact, 19974 = 9987 × 2

29961: in fact, 29961 = 9987 × 3

39948: in fact, 39948 = 9987 × 4

49935: in fact, 49935 = 9987 × 5

etc.

## Is 9987 a prime number?

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

for 9987, the answer is: No, 9987 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 9987). 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 99.935 ). 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.