## Divisors of 1681

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

Accordingly:

**1681** is multiplo of **1**

**1681** is multiplo of **41**

**1681** has **2 positive divisors **

## Parity of 1681

**1681is an odd number**,as it is not divisible by 2

## The factors for 1681

The factors for 1681 are all the numbers between -1681 and 1681 , which divide 1681 without leaving any remainder. Since 1681 divided by -1681 is an integer, -1681 is a factor of 1681 .

Since 1681 divided by -1681 is a whole number, -1681 is a factor of 1681

Since 1681 divided by -41 is a whole number, -41 is a factor of 1681

Since 1681 divided by -1 is a whole number, -1 is a factor of 1681

Since 1681 divided by 1 is a whole number, 1 is a factor of 1681

Since 1681 divided by 41 is a whole number, 41 is a factor of 1681

## What are the multiples of 1681?

Multiples of 1681 are all integers divisible by 1681 , i.e. the remainder of the full division by 1681 is zero. There are infinite multiples of 1681. The smallest multiples of 1681 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1681 since 0 × 1681 = 0

1681 : in fact, 1681 is a multiple of itself, since 1681 is divisible by 1681 (it was 1681 / 1681 = 1, so the rest of this division is zero)

3362: in fact, 3362 = 1681 × 2

5043: in fact, 5043 = 1681 × 3

6724: in fact, 6724 = 1681 × 4

8405: in fact, 8405 = 1681 × 5

etc.

## Is 1681 a prime number?

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

for 1681, the answer is:
**No, ****1681** 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 1681). 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 ). 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.

## Numbers about 1681

Previous Numbers: ... 1679, 1680

Next Numbers: 1682, 1683 ...

## Prime numbers closer to 1681

Previous prime number: 1669

Next prime number: 1693