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

Accordingly:

**480** is multiplo of **1**

**480** is multiplo of **2**

**480** is multiplo of **3**

**480** is multiplo of **4**

**480** is multiplo of **5**

**480** is multiplo of **6**

**480** is multiplo of **8**

**480** is multiplo of **10**

**480** is multiplo of **12**

**480** is multiplo of **15**

**480** is multiplo of **16**

**480** is multiplo of **20**

**480** is multiplo of **24**

**480** is multiplo of **30**

**480** is multiplo of **32**

**480** is multiplo of **40**

**480** is multiplo of **48**

**480** is multiplo of **60**

**480** is multiplo of **80**

**480** is multiplo of **96**

**480** is multiplo of **120**

**480** is multiplo of **160**

**480** is multiplo of **240**

**480** has **23 positive divisors **

In addition we can say of the number **480 that it is even**

480 is an even number, as it is divisible by 2 : 480/2 = 240

The factors for 480 are all the numbers between -480 and 480 , which divide 480 without leaving any remainder. Since 480 divided by -480 is an integer, -480 is a factor of 480 .

Since 480 divided by -480 is a whole number, -480 is a factor of 480

Since 480 divided by -240 is a whole number, -240 is a factor of 480

Since 480 divided by -160 is a whole number, -160 is a factor of 480

Since 480 divided by -120 is a whole number, -120 is a factor of 480

Since 480 divided by -96 is a whole number, -96 is a factor of 480

Since 480 divided by -80 is a whole number, -80 is a factor of 480

Since 480 divided by -60 is a whole number, -60 is a factor of 480

Since 480 divided by -48 is a whole number, -48 is a factor of 480

Since 480 divided by -40 is a whole number, -40 is a factor of 480

Since 480 divided by -32 is a whole number, -32 is a factor of 480

Since 480 divided by -30 is a whole number, -30 is a factor of 480

Since 480 divided by -24 is a whole number, -24 is a factor of 480

Since 480 divided by -20 is a whole number, -20 is a factor of 480

Since 480 divided by -16 is a whole number, -16 is a factor of 480

Since 480 divided by -15 is a whole number, -15 is a factor of 480

Since 480 divided by -12 is a whole number, -12 is a factor of 480

Since 480 divided by -10 is a whole number, -10 is a factor of 480

Since 480 divided by -8 is a whole number, -8 is a factor of 480

Since 480 divided by -6 is a whole number, -6 is a factor of 480

Since 480 divided by -5 is a whole number, -5 is a factor of 480

Since 480 divided by -4 is a whole number, -4 is a factor of 480

Since 480 divided by -3 is a whole number, -3 is a factor of 480

Since 480 divided by -2 is a whole number, -2 is a factor of 480

Since 480 divided by -1 is a whole number, -1 is a factor of 480

Since 480 divided by 1 is a whole number, 1 is a factor of 480

Since 480 divided by 2 is a whole number, 2 is a factor of 480

Since 480 divided by 3 is a whole number, 3 is a factor of 480

Since 480 divided by 4 is a whole number, 4 is a factor of 480

Since 480 divided by 5 is a whole number, 5 is a factor of 480

Since 480 divided by 6 is a whole number, 6 is a factor of 480

Since 480 divided by 8 is a whole number, 8 is a factor of 480

Since 480 divided by 10 is a whole number, 10 is a factor of 480

Since 480 divided by 12 is a whole number, 12 is a factor of 480

Since 480 divided by 15 is a whole number, 15 is a factor of 480

Since 480 divided by 16 is a whole number, 16 is a factor of 480

Since 480 divided by 20 is a whole number, 20 is a factor of 480

Since 480 divided by 24 is a whole number, 24 is a factor of 480

Since 480 divided by 30 is a whole number, 30 is a factor of 480

Since 480 divided by 32 is a whole number, 32 is a factor of 480

Since 480 divided by 40 is a whole number, 40 is a factor of 480

Since 480 divided by 48 is a whole number, 48 is a factor of 480

Since 480 divided by 60 is a whole number, 60 is a factor of 480

Since 480 divided by 80 is a whole number, 80 is a factor of 480

Since 480 divided by 96 is a whole number, 96 is a factor of 480

Since 480 divided by 120 is a whole number, 120 is a factor of 480

Since 480 divided by 160 is a whole number, 160 is a factor of 480

Since 480 divided by 240 is a whole number, 240 is a factor of 480

Multiples of 480 are all integers divisible by 480 , i.e. the remainder of the full division by 480 is zero. There are infinite multiples of 480. The smallest multiples of 480 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 480 since 0 × 480 = 0

480 : in fact, 480 is a multiple of itself, since 480 is divisible by 480 (it was 480 / 480 = 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 480, the answer is:
**No, 480 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 480). 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 21.909 ). 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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Next prime number: 487

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