# Divisors of 17988

## Divisors of 17988

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

Accordingly:

17988 is multiplo of 1

17988 is multiplo of 2

17988 is multiplo of 3

17988 is multiplo of 4

17988 is multiplo of 6

17988 is multiplo of 12

17988 is multiplo of 1499

17988 is multiplo of 2998

17988 is multiplo of 4497

17988 is multiplo of 5996

17988 is multiplo of 8994

17988 has 11 positive divisors

## Parity of 17988

In addition we can say of the number 17988 that it is even

17988 is an even number, as it is divisible by 2 : 17988/2 = 8994

## The factors for 17988

The factors for 17988 are all the numbers between -17988 and 17988 , which divide 17988 without leaving any remainder. Since 17988 divided by -17988 is an integer, -17988 is a factor of 17988 .

Since 17988 divided by -17988 is a whole number, -17988 is a factor of 17988

Since 17988 divided by -8994 is a whole number, -8994 is a factor of 17988

Since 17988 divided by -5996 is a whole number, -5996 is a factor of 17988

Since 17988 divided by -4497 is a whole number, -4497 is a factor of 17988

Since 17988 divided by -2998 is a whole number, -2998 is a factor of 17988

Since 17988 divided by -1499 is a whole number, -1499 is a factor of 17988

Since 17988 divided by -12 is a whole number, -12 is a factor of 17988

Since 17988 divided by -6 is a whole number, -6 is a factor of 17988

Since 17988 divided by -4 is a whole number, -4 is a factor of 17988

Since 17988 divided by -3 is a whole number, -3 is a factor of 17988

Since 17988 divided by -2 is a whole number, -2 is a factor of 17988

Since 17988 divided by -1 is a whole number, -1 is a factor of 17988

Since 17988 divided by 1 is a whole number, 1 is a factor of 17988

Since 17988 divided by 2 is a whole number, 2 is a factor of 17988

Since 17988 divided by 3 is a whole number, 3 is a factor of 17988

Since 17988 divided by 4 is a whole number, 4 is a factor of 17988

Since 17988 divided by 6 is a whole number, 6 is a factor of 17988

Since 17988 divided by 12 is a whole number, 12 is a factor of 17988

Since 17988 divided by 1499 is a whole number, 1499 is a factor of 17988

Since 17988 divided by 2998 is a whole number, 2998 is a factor of 17988

Since 17988 divided by 4497 is a whole number, 4497 is a factor of 17988

Since 17988 divided by 5996 is a whole number, 5996 is a factor of 17988

Since 17988 divided by 8994 is a whole number, 8994 is a factor of 17988

## What are the multiples of 17988?

Multiples of 17988 are all integers divisible by 17988 , i.e. the remainder of the full division by 17988 is zero. There are infinite multiples of 17988. The smallest multiples of 17988 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 17988 since 0 × 17988 = 0

17988 : in fact, 17988 is a multiple of itself, since 17988 is divisible by 17988 (it was 17988 / 17988 = 1, so the rest of this division is zero)

35976: in fact, 35976 = 17988 × 2

53964: in fact, 53964 = 17988 × 3

71952: in fact, 71952 = 17988 × 4

89940: in fact, 89940 = 17988 × 5

etc.

## Is 17988 a prime number?

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

for 17988, the answer is: No, 17988 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 17988). 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 134.119 ). 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.