# Divisors of 1789

## Divisors of 1789

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

• 1
• 1789

Accordingly:

1789 is multiplo of 1

1789 has 1 positive divisors

## Parity of 1789

1789is an odd number,as it is not divisible by 2

## The factors for 1789

The factors for 1789 are all the numbers between -1789 and 1789 , which divide 1789 without leaving any remainder. Since 1789 divided by -1789 is an integer, -1789 is a factor of 1789 .

Since 1789 divided by -1789 is a whole number, -1789 is a factor of 1789

Since 1789 divided by -1 is a whole number, -1 is a factor of 1789

Since 1789 divided by 1 is a whole number, 1 is a factor of 1789

## What are the multiples of 1789?

Multiples of 1789 are all integers divisible by 1789 , i.e. the remainder of the full division by 1789 is zero. There are infinite multiples of 1789. The smallest multiples of 1789 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1789 since 0 × 1789 = 0

1789 : in fact, 1789 is a multiple of itself, since 1789 is divisible by 1789 (it was 1789 / 1789 = 1, so the rest of this division is zero)

3578: in fact, 3578 = 1789 × 2

5367: in fact, 5367 = 1789 × 3

7156: in fact, 7156 = 1789 × 4

8945: in fact, 8945 = 1789 × 5

etc.

## Is 1789 a prime number?

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

for 1789, the answer is: yes, 1789 is a prime number because it only has two different divisors: 1 and itself (1789).

## 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 1789). 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 42.297 ). 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.