# Divisors of 993

## Divisors of 993

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

Accordingly:

993 is multiplo of 1

993 is multiplo of 3

993 is multiplo of 331

993 has 3 positive divisors

## Parity of 993

993is an odd number,as it is not divisible by 2

## The factors for 993

The factors for 993 are all the numbers between -993 and 993 , which divide 993 without leaving any remainder. Since 993 divided by -993 is an integer, -993 is a factor of 993 .

Since 993 divided by -993 is a whole number, -993 is a factor of 993

Since 993 divided by -331 is a whole number, -331 is a factor of 993

Since 993 divided by -3 is a whole number, -3 is a factor of 993

Since 993 divided by -1 is a whole number, -1 is a factor of 993

Since 993 divided by 1 is a whole number, 1 is a factor of 993

Since 993 divided by 3 is a whole number, 3 is a factor of 993

Since 993 divided by 331 is a whole number, 331 is a factor of 993

## What are the multiples of 993?

Multiples of 993 are all integers divisible by 993 , i.e. the remainder of the full division by 993 is zero. There are infinite multiples of 993. The smallest multiples of 993 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 993 since 0 × 993 = 0

993 : in fact, 993 is a multiple of itself, since 993 is divisible by 993 (it was 993 / 993 = 1, so the rest of this division is zero)

1986: in fact, 1986 = 993 × 2

2979: in fact, 2979 = 993 × 3

3972: in fact, 3972 = 993 × 4

4965: in fact, 4965 = 993 × 5

etc.

## Is 993 a prime number?

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

for 993, the answer is: No, 993 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 993). 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 31.512 ). 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.