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

Accordingly:

**864** is multiplo of **1**

**864** is multiplo of **2**

**864** is multiplo of **3**

**864** is multiplo of **4**

**864** is multiplo of **6**

**864** is multiplo of **8**

**864** is multiplo of **9**

**864** is multiplo of **12**

**864** is multiplo of **16**

**864** is multiplo of **18**

**864** is multiplo of **24**

**864** is multiplo of **27**

**864** is multiplo of **32**

**864** is multiplo of **36**

**864** is multiplo of **48**

**864** is multiplo of **54**

**864** is multiplo of **72**

**864** is multiplo of **96**

**864** is multiplo of **108**

**864** is multiplo of **144**

**864** is multiplo of **216**

**864** is multiplo of **288**

**864** is multiplo of **432**

**864** has **23 positive divisors **

In addition we can say of the number **864 that it is even**

864 is an even number, as it is divisible by 2 : 864/2 = 432

The factors for 864 are all the numbers between -864 and 864 , which divide 864 without leaving any remainder. Since 864 divided by -864 is an integer, -864 is a factor of 864 .

Since 864 divided by -864 is a whole number, -864 is a factor of 864

Since 864 divided by -432 is a whole number, -432 is a factor of 864

Since 864 divided by -288 is a whole number, -288 is a factor of 864

Since 864 divided by -216 is a whole number, -216 is a factor of 864

Since 864 divided by -144 is a whole number, -144 is a factor of 864

Since 864 divided by -108 is a whole number, -108 is a factor of 864

Since 864 divided by -96 is a whole number, -96 is a factor of 864

Since 864 divided by -72 is a whole number, -72 is a factor of 864

Since 864 divided by -54 is a whole number, -54 is a factor of 864

Since 864 divided by -48 is a whole number, -48 is a factor of 864

Since 864 divided by -36 is a whole number, -36 is a factor of 864

Since 864 divided by -32 is a whole number, -32 is a factor of 864

Since 864 divided by -27 is a whole number, -27 is a factor of 864

Since 864 divided by -24 is a whole number, -24 is a factor of 864

Since 864 divided by -18 is a whole number, -18 is a factor of 864

Since 864 divided by -16 is a whole number, -16 is a factor of 864

Since 864 divided by -12 is a whole number, -12 is a factor of 864

Since 864 divided by -9 is a whole number, -9 is a factor of 864

Since 864 divided by -8 is a whole number, -8 is a factor of 864

Since 864 divided by -6 is a whole number, -6 is a factor of 864

Since 864 divided by -4 is a whole number, -4 is a factor of 864

Since 864 divided by -3 is a whole number, -3 is a factor of 864

Since 864 divided by -2 is a whole number, -2 is a factor of 864

Since 864 divided by -1 is a whole number, -1 is a factor of 864

Since 864 divided by 1 is a whole number, 1 is a factor of 864

Since 864 divided by 2 is a whole number, 2 is a factor of 864

Since 864 divided by 3 is a whole number, 3 is a factor of 864

Since 864 divided by 4 is a whole number, 4 is a factor of 864

Since 864 divided by 6 is a whole number, 6 is a factor of 864

Since 864 divided by 8 is a whole number, 8 is a factor of 864

Since 864 divided by 9 is a whole number, 9 is a factor of 864

Since 864 divided by 12 is a whole number, 12 is a factor of 864

Since 864 divided by 16 is a whole number, 16 is a factor of 864

Since 864 divided by 18 is a whole number, 18 is a factor of 864

Since 864 divided by 24 is a whole number, 24 is a factor of 864

Since 864 divided by 27 is a whole number, 27 is a factor of 864

Since 864 divided by 32 is a whole number, 32 is a factor of 864

Since 864 divided by 36 is a whole number, 36 is a factor of 864

Since 864 divided by 48 is a whole number, 48 is a factor of 864

Since 864 divided by 54 is a whole number, 54 is a factor of 864

Since 864 divided by 72 is a whole number, 72 is a factor of 864

Since 864 divided by 96 is a whole number, 96 is a factor of 864

Since 864 divided by 108 is a whole number, 108 is a factor of 864

Since 864 divided by 144 is a whole number, 144 is a factor of 864

Since 864 divided by 216 is a whole number, 216 is a factor of 864

Since 864 divided by 288 is a whole number, 288 is a factor of 864

Since 864 divided by 432 is a whole number, 432 is a factor of 864

Multiples of 864 are all integers divisible by 864 , i.e. the remainder of the full division by 864 is zero. There are infinite multiples of 864. The smallest multiples of 864 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 864 since 0 × 864 = 0

864 : in fact, 864 is a multiple of itself, since 864 is divisible by 864 (it was 864 / 864 = 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 864, the answer is:
**No, 864 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 864). 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 29.394 ). 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: 877

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