# Divisors of 33

## Divisors of 33

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

Accordingly:

33 is multiplo of 1

33 is multiplo of 3

33 is multiplo of 11

33 has 3 positive divisors

## Parity of 33

33is an odd number,as it is not divisible by 2

## The factors for 33

The factors for 33 are all the numbers between -33 and 33 , which divide 33 without leaving any remainder. Since 33 divided by -33 is an integer, -33 is a factor of 33 .

Since 33 divided by -33 is a whole number, -33 is a factor of 33

Since 33 divided by -11 is a whole number, -11 is a factor of 33

Since 33 divided by -3 is a whole number, -3 is a factor of 33

Since 33 divided by -1 is a whole number, -1 is a factor of 33

Since 33 divided by 1 is a whole number, 1 is a factor of 33

Since 33 divided by 3 is a whole number, 3 is a factor of 33

Since 33 divided by 11 is a whole number, 11 is a factor of 33

## What are the multiples of 33?

Multiples of 33 are all integers divisible by 33 , i.e. the remainder of the full division by 33 is zero. There are infinite multiples of 33. The smallest multiples of 33 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 33 since 0 × 33 = 0

33 : in fact, 33 is a multiple of itself, since 33 is divisible by 33 (it was 33 / 33 = 1, so the rest of this division is zero)

66: in fact, 66 = 33 × 2

99: in fact, 99 = 33 × 3

132: in fact, 132 = 33 × 4

165: in fact, 165 = 33 × 5

etc.

## Is 33 a prime number?

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

for 33, the answer is: No, 33 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 33). 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 5.745 ). 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.