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

Accordingly:

**870** is multiplo of **1**

**870** is multiplo of **2**

**870** is multiplo of **3**

**870** is multiplo of **5**

**870** is multiplo of **6**

**870** is multiplo of **10**

**870** is multiplo of **15**

**870** is multiplo of **29**

**870** is multiplo of **30**

**870** is multiplo of **58**

**870** is multiplo of **87**

**870** is multiplo of **145**

**870** is multiplo of **174**

**870** is multiplo of **290**

**870** is multiplo of **435**

**870** has **15 positive divisors **

In addition we can say of the number **870 that it is even**

870 is an even number, as it is divisible by 2 : 870/2 = 435

The factors for 870 are all the numbers between -870 and 870 , which divide 870 without leaving any remainder. Since 870 divided by -870 is an integer, -870 is a factor of 870 .

Since 870 divided by -870 is a whole number, -870 is a factor of 870

Since 870 divided by -435 is a whole number, -435 is a factor of 870

Since 870 divided by -290 is a whole number, -290 is a factor of 870

Since 870 divided by -174 is a whole number, -174 is a factor of 870

Since 870 divided by -145 is a whole number, -145 is a factor of 870

Since 870 divided by -87 is a whole number, -87 is a factor of 870

Since 870 divided by -58 is a whole number, -58 is a factor of 870

Since 870 divided by -30 is a whole number, -30 is a factor of 870

Since 870 divided by -29 is a whole number, -29 is a factor of 870

Since 870 divided by -15 is a whole number, -15 is a factor of 870

Since 870 divided by -10 is a whole number, -10 is a factor of 870

Since 870 divided by -6 is a whole number, -6 is a factor of 870

Since 870 divided by -5 is a whole number, -5 is a factor of 870

Since 870 divided by -3 is a whole number, -3 is a factor of 870

Since 870 divided by -2 is a whole number, -2 is a factor of 870

Since 870 divided by -1 is a whole number, -1 is a factor of 870

Since 870 divided by 1 is a whole number, 1 is a factor of 870

Since 870 divided by 2 is a whole number, 2 is a factor of 870

Since 870 divided by 3 is a whole number, 3 is a factor of 870

Since 870 divided by 5 is a whole number, 5 is a factor of 870

Since 870 divided by 6 is a whole number, 6 is a factor of 870

Since 870 divided by 10 is a whole number, 10 is a factor of 870

Since 870 divided by 15 is a whole number, 15 is a factor of 870

Since 870 divided by 29 is a whole number, 29 is a factor of 870

Since 870 divided by 30 is a whole number, 30 is a factor of 870

Since 870 divided by 58 is a whole number, 58 is a factor of 870

Since 870 divided by 87 is a whole number, 87 is a factor of 870

Since 870 divided by 145 is a whole number, 145 is a factor of 870

Since 870 divided by 174 is a whole number, 174 is a factor of 870

Since 870 divided by 290 is a whole number, 290 is a factor of 870

Since 870 divided by 435 is a whole number, 435 is a factor of 870

Multiples of 870 are all integers divisible by 870 , i.e. the remainder of the full division by 870 is zero. There are infinite multiples of 870. The smallest multiples of 870 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 870 since 0 × 870 = 0

870 : in fact, 870 is a multiple of itself, since 870 is divisible by 870 (it was 870 / 870 = 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 870, the answer is:
**No, 870 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 870). 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 29.496 ). 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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