# Divisors of 9973

## Divisors of 9973

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

• 1
• 9973

Accordingly:

9973 is multiplo of 1

9973 has 1 positive divisors

## Parity of 9973

9973is an odd number,as it is not divisible by 2

## The factors for 9973

The factors for 9973 are all the numbers between -9973 and 9973 , which divide 9973 without leaving any remainder. Since 9973 divided by -9973 is an integer, -9973 is a factor of 9973 .

Since 9973 divided by -9973 is a whole number, -9973 is a factor of 9973

Since 9973 divided by -1 is a whole number, -1 is a factor of 9973

Since 9973 divided by 1 is a whole number, 1 is a factor of 9973

## What are the multiples of 9973?

Multiples of 9973 are all integers divisible by 9973 , i.e. the remainder of the full division by 9973 is zero. There are infinite multiples of 9973. The smallest multiples of 9973 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9973 since 0 × 9973 = 0

9973 : in fact, 9973 is a multiple of itself, since 9973 is divisible by 9973 (it was 9973 / 9973 = 1, so the rest of this division is zero)

19946: in fact, 19946 = 9973 × 2

29919: in fact, 29919 = 9973 × 3

39892: in fact, 39892 = 9973 × 4

49865: in fact, 49865 = 9973 × 5

etc.

## Is 9973 a prime number?

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

for 9973, the answer is: yes, 9973 is a prime number because it only has two different divisors: 1 and itself (9973).

## 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 9973). 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 99.865 ). 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.