# Divisors of 1993

## Divisors of 1993

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

• 1
• 1993

Accordingly:

1993 is multiplo of 1

1993 has 1 positive divisors

## Parity of 1993

1993is an odd number,as it is not divisible by 2

## The factors for 1993

The factors for 1993 are all the numbers between -1993 and 1993 , which divide 1993 without leaving any remainder. Since 1993 divided by -1993 is an integer, -1993 is a factor of 1993 .

Since 1993 divided by -1993 is a whole number, -1993 is a factor of 1993

Since 1993 divided by -1 is a whole number, -1 is a factor of 1993

Since 1993 divided by 1 is a whole number, 1 is a factor of 1993

## What are the multiples of 1993?

Multiples of 1993 are all integers divisible by 1993 , i.e. the remainder of the full division by 1993 is zero. There are infinite multiples of 1993. The smallest multiples of 1993 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1993 since 0 × 1993 = 0

1993 : in fact, 1993 is a multiple of itself, since 1993 is divisible by 1993 (it was 1993 / 1993 = 1, so the rest of this division is zero)

3986: in fact, 3986 = 1993 × 2

5979: in fact, 5979 = 1993 × 3

7972: in fact, 7972 = 1993 × 4

9965: in fact, 9965 = 1993 × 5

etc.

## Is 1993 a prime number?

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

for 1993, the answer is: yes, 1993 is a prime number because it only has two different divisors: 1 and itself (1993).

## 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 1993). 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 44.643 ). 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.