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

Accordingly:

**744** is multiplo of **1**

**744** is multiplo of **2**

**744** is multiplo of **3**

**744** is multiplo of **4**

**744** is multiplo of **6**

**744** is multiplo of **8**

**744** is multiplo of **12**

**744** is multiplo of **24**

**744** is multiplo of **31**

**744** is multiplo of **62**

**744** is multiplo of **93**

**744** is multiplo of **124**

**744** is multiplo of **186**

**744** is multiplo of **248**

**744** is multiplo of **372**

**744** has **15 positive divisors **

In addition we can say of the number **744 that it is even**

744 is an even number, as it is divisible by 2 : 744/2 = 372

The factors for 744 are all the numbers between -744 and 744 , which divide 744 without leaving any remainder. Since 744 divided by -744 is an integer, -744 is a factor of 744 .

Since 744 divided by -744 is a whole number, -744 is a factor of 744

Since 744 divided by -372 is a whole number, -372 is a factor of 744

Since 744 divided by -248 is a whole number, -248 is a factor of 744

Since 744 divided by -186 is a whole number, -186 is a factor of 744

Since 744 divided by -124 is a whole number, -124 is a factor of 744

Since 744 divided by -93 is a whole number, -93 is a factor of 744

Since 744 divided by -62 is a whole number, -62 is a factor of 744

Since 744 divided by -31 is a whole number, -31 is a factor of 744

Since 744 divided by -24 is a whole number, -24 is a factor of 744

Since 744 divided by -12 is a whole number, -12 is a factor of 744

Since 744 divided by -8 is a whole number, -8 is a factor of 744

Since 744 divided by -6 is a whole number, -6 is a factor of 744

Since 744 divided by -4 is a whole number, -4 is a factor of 744

Since 744 divided by -3 is a whole number, -3 is a factor of 744

Since 744 divided by -2 is a whole number, -2 is a factor of 744

Since 744 divided by -1 is a whole number, -1 is a factor of 744

Since 744 divided by 1 is a whole number, 1 is a factor of 744

Since 744 divided by 2 is a whole number, 2 is a factor of 744

Since 744 divided by 3 is a whole number, 3 is a factor of 744

Since 744 divided by 4 is a whole number, 4 is a factor of 744

Since 744 divided by 6 is a whole number, 6 is a factor of 744

Since 744 divided by 8 is a whole number, 8 is a factor of 744

Since 744 divided by 12 is a whole number, 12 is a factor of 744

Since 744 divided by 24 is a whole number, 24 is a factor of 744

Since 744 divided by 31 is a whole number, 31 is a factor of 744

Since 744 divided by 62 is a whole number, 62 is a factor of 744

Since 744 divided by 93 is a whole number, 93 is a factor of 744

Since 744 divided by 124 is a whole number, 124 is a factor of 744

Since 744 divided by 186 is a whole number, 186 is a factor of 744

Since 744 divided by 248 is a whole number, 248 is a factor of 744

Since 744 divided by 372 is a whole number, 372 is a factor of 744

Multiples of 744 are all integers divisible by 744 , i.e. the remainder of the full division by 744 is zero. There are infinite multiples of 744. The smallest multiples of 744 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 744 since 0 × 744 = 0

744 : in fact, 744 is a multiple of itself, since 744 is divisible by 744 (it was 744 / 744 = 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 744, the answer is:
**No, 744 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 744). 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 27.276 ). 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: 751

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