# Divisors of 3993

## Divisors of 3993

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

Accordingly:

3993 is multiplo of 1

3993 is multiplo of 3

3993 is multiplo of 11

3993 is multiplo of 33

3993 is multiplo of 121

3993 is multiplo of 363

3993 is multiplo of 1331

3993 has 7 positive divisors

## Parity of 3993

3993is an odd number,as it is not divisible by 2

## The factors for 3993

The factors for 3993 are all the numbers between -3993 and 3993 , which divide 3993 without leaving any remainder. Since 3993 divided by -3993 is an integer, -3993 is a factor of 3993 .

Since 3993 divided by -3993 is a whole number, -3993 is a factor of 3993

Since 3993 divided by -1331 is a whole number, -1331 is a factor of 3993

Since 3993 divided by -363 is a whole number, -363 is a factor of 3993

Since 3993 divided by -121 is a whole number, -121 is a factor of 3993

Since 3993 divided by -33 is a whole number, -33 is a factor of 3993

Since 3993 divided by -11 is a whole number, -11 is a factor of 3993

Since 3993 divided by -3 is a whole number, -3 is a factor of 3993

Since 3993 divided by -1 is a whole number, -1 is a factor of 3993

Since 3993 divided by 1 is a whole number, 1 is a factor of 3993

Since 3993 divided by 3 is a whole number, 3 is a factor of 3993

Since 3993 divided by 11 is a whole number, 11 is a factor of 3993

Since 3993 divided by 33 is a whole number, 33 is a factor of 3993

Since 3993 divided by 121 is a whole number, 121 is a factor of 3993

Since 3993 divided by 363 is a whole number, 363 is a factor of 3993

Since 3993 divided by 1331 is a whole number, 1331 is a factor of 3993

## What are the multiples of 3993?

Multiples of 3993 are all integers divisible by 3993 , i.e. the remainder of the full division by 3993 is zero. There are infinite multiples of 3993. The smallest multiples of 3993 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3993 since 0 × 3993 = 0

3993 : in fact, 3993 is a multiple of itself, since 3993 is divisible by 3993 (it was 3993 / 3993 = 1, so the rest of this division is zero)

7986: in fact, 7986 = 3993 × 2

11979: in fact, 11979 = 3993 × 3

15972: in fact, 15972 = 3993 × 4

19965: in fact, 19965 = 3993 × 5

etc.

## Is 3993 a prime number?

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

for 3993, the answer is: No, 3993 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 3993). 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 63.19 ). 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.