# Divisors of 9948

## Divisors of 9948

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

Accordingly:

9948 is multiplo of 1

9948 is multiplo of 2

9948 is multiplo of 3

9948 is multiplo of 4

9948 is multiplo of 6

9948 is multiplo of 12

9948 is multiplo of 829

9948 is multiplo of 1658

9948 is multiplo of 2487

9948 is multiplo of 3316

9948 is multiplo of 4974

9948 has 11 positive divisors

## Parity of 9948

In addition we can say of the number 9948 that it is even

9948 is an even number, as it is divisible by 2 : 9948/2 = 4974

## The factors for 9948

The factors for 9948 are all the numbers between -9948 and 9948 , which divide 9948 without leaving any remainder. Since 9948 divided by -9948 is an integer, -9948 is a factor of 9948 .

Since 9948 divided by -9948 is a whole number, -9948 is a factor of 9948

Since 9948 divided by -4974 is a whole number, -4974 is a factor of 9948

Since 9948 divided by -3316 is a whole number, -3316 is a factor of 9948

Since 9948 divided by -2487 is a whole number, -2487 is a factor of 9948

Since 9948 divided by -1658 is a whole number, -1658 is a factor of 9948

Since 9948 divided by -829 is a whole number, -829 is a factor of 9948

Since 9948 divided by -12 is a whole number, -12 is a factor of 9948

Since 9948 divided by -6 is a whole number, -6 is a factor of 9948

Since 9948 divided by -4 is a whole number, -4 is a factor of 9948

Since 9948 divided by -3 is a whole number, -3 is a factor of 9948

Since 9948 divided by -2 is a whole number, -2 is a factor of 9948

Since 9948 divided by -1 is a whole number, -1 is a factor of 9948

Since 9948 divided by 1 is a whole number, 1 is a factor of 9948

Since 9948 divided by 2 is a whole number, 2 is a factor of 9948

Since 9948 divided by 3 is a whole number, 3 is a factor of 9948

Since 9948 divided by 4 is a whole number, 4 is a factor of 9948

Since 9948 divided by 6 is a whole number, 6 is a factor of 9948

Since 9948 divided by 12 is a whole number, 12 is a factor of 9948

Since 9948 divided by 829 is a whole number, 829 is a factor of 9948

Since 9948 divided by 1658 is a whole number, 1658 is a factor of 9948

Since 9948 divided by 2487 is a whole number, 2487 is a factor of 9948

Since 9948 divided by 3316 is a whole number, 3316 is a factor of 9948

Since 9948 divided by 4974 is a whole number, 4974 is a factor of 9948

## What are the multiples of 9948?

Multiples of 9948 are all integers divisible by 9948 , i.e. the remainder of the full division by 9948 is zero. There are infinite multiples of 9948. The smallest multiples of 9948 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 9948 since 0 × 9948 = 0

9948 : in fact, 9948 is a multiple of itself, since 9948 is divisible by 9948 (it was 9948 / 9948 = 1, so the rest of this division is zero)

19896: in fact, 19896 = 9948 × 2

29844: in fact, 29844 = 9948 × 3

39792: in fact, 39792 = 9948 × 4

49740: in fact, 49740 = 9948 × 5

etc.

## Is 9948 a prime number?

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

for 9948, the answer is: No, 9948 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 9948). 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 99.74 ). 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.