# Divisors of 5501

## Divisors of 5501

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

• 1
• 5501

Accordingly:

5501 is multiplo of 1

5501 has 1 positive divisors

## Parity of 5501

5501is an odd number,as it is not divisible by 2

## The factors for 5501

The factors for 5501 are all the numbers between -5501 and 5501 , which divide 5501 without leaving any remainder. Since 5501 divided by -5501 is an integer, -5501 is a factor of 5501 .

Since 5501 divided by -5501 is a whole number, -5501 is a factor of 5501

Since 5501 divided by -1 is a whole number, -1 is a factor of 5501

Since 5501 divided by 1 is a whole number, 1 is a factor of 5501

## What are the multiples of 5501?

Multiples of 5501 are all integers divisible by 5501 , i.e. the remainder of the full division by 5501 is zero. There are infinite multiples of 5501. The smallest multiples of 5501 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 5501 since 0 × 5501 = 0

5501 : in fact, 5501 is a multiple of itself, since 5501 is divisible by 5501 (it was 5501 / 5501 = 1, so the rest of this division is zero)

11002: in fact, 11002 = 5501 × 2

16503: in fact, 16503 = 5501 × 3

22004: in fact, 22004 = 5501 × 4

27505: in fact, 27505 = 5501 × 5

etc.

## Is 5501 a prime number?

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

for 5501, the answer is: yes, 5501 is a prime number because it only has two different divisors: 1 and itself (5501).

## 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 5501). 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 74.169 ). 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.