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

Accordingly:

**484** is multiplo of **1**

**484** is multiplo of **2**

**484** is multiplo of **4**

**484** is multiplo of **11**

**484** is multiplo of **22**

**484** is multiplo of **44**

**484** is multiplo of **121**

**484** is multiplo of **242**

**484** has **8 positive divisors **

In addition we can say of the number **484 that it is even**

484 is an even number, as it is divisible by 2 : 484/2 = 242

The factors for 484 are all the numbers between -484 and 484 , which divide 484 without leaving any remainder. Since 484 divided by -484 is an integer, -484 is a factor of 484 .

Since 484 divided by -484 is a whole number, -484 is a factor of 484

Since 484 divided by -242 is a whole number, -242 is a factor of 484

Since 484 divided by -121 is a whole number, -121 is a factor of 484

Since 484 divided by -44 is a whole number, -44 is a factor of 484

Since 484 divided by -22 is a whole number, -22 is a factor of 484

Since 484 divided by -11 is a whole number, -11 is a factor of 484

Since 484 divided by -4 is a whole number, -4 is a factor of 484

Since 484 divided by -2 is a whole number, -2 is a factor of 484

Since 484 divided by -1 is a whole number, -1 is a factor of 484

Since 484 divided by 1 is a whole number, 1 is a factor of 484

Since 484 divided by 2 is a whole number, 2 is a factor of 484

Since 484 divided by 4 is a whole number, 4 is a factor of 484

Since 484 divided by 11 is a whole number, 11 is a factor of 484

Since 484 divided by 22 is a whole number, 22 is a factor of 484

Since 484 divided by 44 is a whole number, 44 is a factor of 484

Since 484 divided by 121 is a whole number, 121 is a factor of 484

Since 484 divided by 242 is a whole number, 242 is a factor of 484

Multiples of 484 are all integers divisible by 484 , i.e. the remainder of the full division by 484 is zero. There are infinite multiples of 484. The smallest multiples of 484 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 484 since 0 × 484 = 0

484 : in fact, 484 is a multiple of itself, since 484 is divisible by 484 (it was 484 / 484 = 1, so the rest of this division is zero)

etc.

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

for 484, the answer is:
**No, 484 is not a prime number**.

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 484). 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 22 ). 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.

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