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

Accordingly:

**84** is multiplo of **1**

**84** is multiplo of **2**

**84** is multiplo of **3**

**84** is multiplo of **4**

**84** is multiplo of **6**

**84** is multiplo of **7**

**84** is multiplo of **12**

**84** is multiplo of **14**

**84** is multiplo of **21**

**84** is multiplo of **28**

**84** is multiplo of **42**

**84** has **11 positive divisors **

In addition we can say of the number **84 that it is even**

84 is an even number, as it is divisible by 2 : 84/2 = 42

The factors for 84 are all the numbers between -84 and 84 , which divide 84 without leaving any remainder. Since 84 divided by -84 is an integer, -84 is a factor of 84 .

Since 84 divided by -84 is a whole number, -84 is a factor of 84

Since 84 divided by -42 is a whole number, -42 is a factor of 84

Since 84 divided by -28 is a whole number, -28 is a factor of 84

Since 84 divided by -21 is a whole number, -21 is a factor of 84

Since 84 divided by -14 is a whole number, -14 is a factor of 84

Since 84 divided by -12 is a whole number, -12 is a factor of 84

Since 84 divided by -7 is a whole number, -7 is a factor of 84

Since 84 divided by -6 is a whole number, -6 is a factor of 84

Since 84 divided by -4 is a whole number, -4 is a factor of 84

Since 84 divided by -3 is a whole number, -3 is a factor of 84

Since 84 divided by -2 is a whole number, -2 is a factor of 84

Since 84 divided by -1 is a whole number, -1 is a factor of 84

Since 84 divided by 1 is a whole number, 1 is a factor of 84

Since 84 divided by 2 is a whole number, 2 is a factor of 84

Since 84 divided by 3 is a whole number, 3 is a factor of 84

Since 84 divided by 4 is a whole number, 4 is a factor of 84

Since 84 divided by 6 is a whole number, 6 is a factor of 84

Since 84 divided by 7 is a whole number, 7 is a factor of 84

Since 84 divided by 12 is a whole number, 12 is a factor of 84

Since 84 divided by 14 is a whole number, 14 is a factor of 84

Since 84 divided by 21 is a whole number, 21 is a factor of 84

Since 84 divided by 28 is a whole number, 28 is a factor of 84

Since 84 divided by 42 is a whole number, 42 is a factor of 84

Multiples of 84 are all integers divisible by 84 , i.e. the remainder of the full division by 84 is zero. There are infinite multiples of 84. The smallest multiples of 84 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 84 since 0 × 84 = 0

84 : in fact, 84 is a multiple of itself, since 84 is divisible by 84 (it was 84 / 84 = 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 84, the answer is:
**No, 84 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 84). 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 9.165 ). 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: 89

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