# Divisors of 83

## Divisors of 83

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

Accordingly:

83 is multiplo of 1

83 has 1 positive divisors

## Parity of 83

83is an odd number,as it is not divisible by 2

## The factors for 83

The factors for 83 are all the numbers between -83 and 83 , which divide 83 without leaving any remainder. Since 83 divided by -83 is an integer, -83 is a factor of 83 .

Since 83 divided by -83 is a whole number, -83 is a factor of 83

Since 83 divided by -1 is a whole number, -1 is a factor of 83

Since 83 divided by 1 is a whole number, 1 is a factor of 83

## What are the multiples of 83?

Multiples of 83 are all integers divisible by 83 , i.e. the remainder of the full division by 83 is zero. There are infinite multiples of 83. The smallest multiples of 83 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 83 since 0 × 83 = 0

83 : in fact, 83 is a multiple of itself, since 83 is divisible by 83 (it was 83 / 83 = 1, so the rest of this division is zero)

166: in fact, 166 = 83 × 2

249: in fact, 249 = 83 × 3

332: in fact, 332 = 83 × 4

415: in fact, 415 = 83 × 5

etc.

## Is 83 a prime number?

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

for 83, the answer is: yes, 83 is a prime number because it only has two different divisors: 1 and itself (83).

## 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 83). 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 9.11 ). 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.