# Divisors of 4991

## Divisors of 4991

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

Accordingly:

4991 is multiplo of 1

4991 is multiplo of 7

4991 is multiplo of 23

4991 is multiplo of 31

4991 is multiplo of 161

4991 is multiplo of 217

4991 is multiplo of 713

4991 has 7 positive divisors

## Parity of 4991

4991is an odd number,as it is not divisible by 2

## The factors for 4991

The factors for 4991 are all the numbers between -4991 and 4991 , which divide 4991 without leaving any remainder. Since 4991 divided by -4991 is an integer, -4991 is a factor of 4991 .

Since 4991 divided by -4991 is a whole number, -4991 is a factor of 4991

Since 4991 divided by -713 is a whole number, -713 is a factor of 4991

Since 4991 divided by -217 is a whole number, -217 is a factor of 4991

Since 4991 divided by -161 is a whole number, -161 is a factor of 4991

Since 4991 divided by -31 is a whole number, -31 is a factor of 4991

Since 4991 divided by -23 is a whole number, -23 is a factor of 4991

Since 4991 divided by -7 is a whole number, -7 is a factor of 4991

Since 4991 divided by -1 is a whole number, -1 is a factor of 4991

Since 4991 divided by 1 is a whole number, 1 is a factor of 4991

Since 4991 divided by 7 is a whole number, 7 is a factor of 4991

Since 4991 divided by 23 is a whole number, 23 is a factor of 4991

Since 4991 divided by 31 is a whole number, 31 is a factor of 4991

Since 4991 divided by 161 is a whole number, 161 is a factor of 4991

Since 4991 divided by 217 is a whole number, 217 is a factor of 4991

Since 4991 divided by 713 is a whole number, 713 is a factor of 4991

## What are the multiples of 4991?

Multiples of 4991 are all integers divisible by 4991 , i.e. the remainder of the full division by 4991 is zero. There are infinite multiples of 4991. The smallest multiples of 4991 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 4991 since 0 × 4991 = 0

4991 : in fact, 4991 is a multiple of itself, since 4991 is divisible by 4991 (it was 4991 / 4991 = 1, so the rest of this division is zero)

9982: in fact, 9982 = 4991 × 2

14973: in fact, 14973 = 4991 × 3

19964: in fact, 19964 = 4991 × 4

24955: in fact, 24955 = 4991 × 5

etc.

## Is 4991 a prime number?

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

for 4991, the answer is: No, 4991 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 4991). 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 70.647 ). 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.