# Divisors of 1684

## Divisors of 1684

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

Accordingly:

1684 is multiplo of 1

1684 is multiplo of 2

1684 is multiplo of 4

1684 is multiplo of 421

1684 is multiplo of 842

1684 has 5 positive divisors

## Parity of 1684

In addition we can say of the number 1684 that it is even

1684 is an even number, as it is divisible by 2 : 1684/2 = 842

## The factors for 1684

The factors for 1684 are all the numbers between -1684 and 1684 , which divide 1684 without leaving any remainder. Since 1684 divided by -1684 is an integer, -1684 is a factor of 1684 .

Since 1684 divided by -1684 is a whole number, -1684 is a factor of 1684

Since 1684 divided by -842 is a whole number, -842 is a factor of 1684

Since 1684 divided by -421 is a whole number, -421 is a factor of 1684

Since 1684 divided by -4 is a whole number, -4 is a factor of 1684

Since 1684 divided by -2 is a whole number, -2 is a factor of 1684

Since 1684 divided by -1 is a whole number, -1 is a factor of 1684

Since 1684 divided by 1 is a whole number, 1 is a factor of 1684

Since 1684 divided by 2 is a whole number, 2 is a factor of 1684

Since 1684 divided by 4 is a whole number, 4 is a factor of 1684

Since 1684 divided by 421 is a whole number, 421 is a factor of 1684

Since 1684 divided by 842 is a whole number, 842 is a factor of 1684

## What are the multiples of 1684?

Multiples of 1684 are all integers divisible by 1684 , i.e. the remainder of the full division by 1684 is zero. There are infinite multiples of 1684. The smallest multiples of 1684 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1684 since 0 × 1684 = 0

1684 : in fact, 1684 is a multiple of itself, since 1684 is divisible by 1684 (it was 1684 / 1684 = 1, so the rest of this division is zero)

3368: in fact, 3368 = 1684 × 2

5052: in fact, 5052 = 1684 × 3

6736: in fact, 6736 = 1684 × 4

8420: in fact, 8420 = 1684 × 5

etc.

## Is 1684 a prime number?

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

for 1684, the answer is: No, 1684 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 1684). 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 41.037 ). 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.