# Divisors of 81

## Divisors of 81

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

Accordingly:

81 is multiplo of 1

81 is multiplo of 3

81 is multiplo of 9

81 is multiplo of 27

81 has 4 positive divisors

## Parity of 81

81is an odd number,as it is not divisible by 2

## The factors for 81

The factors for 81 are all the numbers between -81 and 81 , which divide 81 without leaving any remainder. Since 81 divided by -81 is an integer, -81 is a factor of 81 .

Since 81 divided by -81 is a whole number, -81 is a factor of 81

Since 81 divided by -27 is a whole number, -27 is a factor of 81

Since 81 divided by -9 is a whole number, -9 is a factor of 81

Since 81 divided by -3 is a whole number, -3 is a factor of 81

Since 81 divided by -1 is a whole number, -1 is a factor of 81

Since 81 divided by 1 is a whole number, 1 is a factor of 81

Since 81 divided by 3 is a whole number, 3 is a factor of 81

Since 81 divided by 9 is a whole number, 9 is a factor of 81

Since 81 divided by 27 is a whole number, 27 is a factor of 81

## What are the multiples of 81?

Multiples of 81 are all integers divisible by 81 , i.e. the remainder of the full division by 81 is zero. There are infinite multiples of 81. The smallest multiples of 81 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 81 since 0 × 81 = 0

81 : in fact, 81 is a multiple of itself, since 81 is divisible by 81 (it was 81 / 81 = 1, so the rest of this division is zero)

162: in fact, 162 = 81 × 2

243: in fact, 243 = 81 × 3

324: in fact, 324 = 81 × 4

405: in fact, 405 = 81 × 5

etc.

## Is 81 a prime number?

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

for 81, the answer is: No, 81 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 81). 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 ). 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.