# Divisors of 17987

## Divisors of 17987

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

• 1
• 17987

Accordingly:

17987 is multiplo of 1

17987 has 1 positive divisors

## Parity of 17987

17987is an odd number,as it is not divisible by 2

## The factors for 17987

The factors for 17987 are all the numbers between -17987 and 17987 , which divide 17987 without leaving any remainder. Since 17987 divided by -17987 is an integer, -17987 is a factor of 17987 .

Since 17987 divided by -17987 is a whole number, -17987 is a factor of 17987

Since 17987 divided by -1 is a whole number, -1 is a factor of 17987

Since 17987 divided by 1 is a whole number, 1 is a factor of 17987

## What are the multiples of 17987?

Multiples of 17987 are all integers divisible by 17987 , i.e. the remainder of the full division by 17987 is zero. There are infinite multiples of 17987. The smallest multiples of 17987 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 17987 since 0 × 17987 = 0

17987 : in fact, 17987 is a multiple of itself, since 17987 is divisible by 17987 (it was 17987 / 17987 = 1, so the rest of this division is zero)

35974: in fact, 35974 = 17987 × 2

53961: in fact, 53961 = 17987 × 3

71948: in fact, 71948 = 17987 × 4

89935: in fact, 89935 = 17987 × 5

etc.

## Is 17987 a prime number?

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

for 17987, the answer is: yes, 17987 is a prime number because it only has two different divisors: 1 and itself (17987).

## 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 17987). 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 134.116 ). 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.