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

Accordingly:

**272** is multiplo of **1**

**272** is multiplo of **2**

**272** is multiplo of **4**

**272** is multiplo of **8**

**272** is multiplo of **16**

**272** is multiplo of **17**

**272** is multiplo of **34**

**272** is multiplo of **68**

**272** is multiplo of **136**

**272** has **9 positive divisors **

In addition we can say of the number **272 that it is even**

272 is an even number, as it is divisible by 2 : 272/2 = 136

The factors for 272 are all the numbers between -272 and 272 , which divide 272 without leaving any remainder. Since 272 divided by -272 is an integer, -272 is a factor of 272 .

Since 272 divided by -272 is a whole number, -272 is a factor of 272

Since 272 divided by -136 is a whole number, -136 is a factor of 272

Since 272 divided by -68 is a whole number, -68 is a factor of 272

Since 272 divided by -34 is a whole number, -34 is a factor of 272

Since 272 divided by -17 is a whole number, -17 is a factor of 272

Since 272 divided by -16 is a whole number, -16 is a factor of 272

Since 272 divided by -8 is a whole number, -8 is a factor of 272

Since 272 divided by -4 is a whole number, -4 is a factor of 272

Since 272 divided by -2 is a whole number, -2 is a factor of 272

Since 272 divided by -1 is a whole number, -1 is a factor of 272

Since 272 divided by 1 is a whole number, 1 is a factor of 272

Since 272 divided by 2 is a whole number, 2 is a factor of 272

Since 272 divided by 4 is a whole number, 4 is a factor of 272

Since 272 divided by 8 is a whole number, 8 is a factor of 272

Since 272 divided by 16 is a whole number, 16 is a factor of 272

Since 272 divided by 17 is a whole number, 17 is a factor of 272

Since 272 divided by 34 is a whole number, 34 is a factor of 272

Since 272 divided by 68 is a whole number, 68 is a factor of 272

Since 272 divided by 136 is a whole number, 136 is a factor of 272

Multiples of 272 are all integers divisible by 272 , i.e. the remainder of the full division by 272 is zero. There are infinite multiples of 272. The smallest multiples of 272 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 272 since 0 × 272 = 0

272 : in fact, 272 is a multiple of itself, since 272 is divisible by 272 (it was 272 / 272 = 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 272, the answer is:
**No, 272 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 272). 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 16.492 ). 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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