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

Accordingly:

**1744** is multiplo of **1**

**1744** is multiplo of **2**

**1744** is multiplo of **4**

**1744** is multiplo of **8**

**1744** is multiplo of **16**

**1744** is multiplo of **109**

**1744** is multiplo of **218**

**1744** is multiplo of **436**

**1744** is multiplo of **872**

**1744** has **9 positive divisors **

In addition we can say of the number **1744 that it is even**

1744 is an even number, as it is divisible by 2 : 1744/2 = 872

The factors for 1744 are all the numbers between -1744 and 1744 , which divide 1744 without leaving any remainder. Since 1744 divided by -1744 is an integer, -1744 is a factor of 1744 .

Since 1744 divided by -1744 is a whole number, -1744 is a factor of 1744

Since 1744 divided by -872 is a whole number, -872 is a factor of 1744

Since 1744 divided by -436 is a whole number, -436 is a factor of 1744

Since 1744 divided by -218 is a whole number, -218 is a factor of 1744

Since 1744 divided by -109 is a whole number, -109 is a factor of 1744

Since 1744 divided by -16 is a whole number, -16 is a factor of 1744

Since 1744 divided by -8 is a whole number, -8 is a factor of 1744

Since 1744 divided by -4 is a whole number, -4 is a factor of 1744

Since 1744 divided by -2 is a whole number, -2 is a factor of 1744

Since 1744 divided by -1 is a whole number, -1 is a factor of 1744

Since 1744 divided by 1 is a whole number, 1 is a factor of 1744

Since 1744 divided by 2 is a whole number, 2 is a factor of 1744

Since 1744 divided by 4 is a whole number, 4 is a factor of 1744

Since 1744 divided by 8 is a whole number, 8 is a factor of 1744

Since 1744 divided by 16 is a whole number, 16 is a factor of 1744

Since 1744 divided by 109 is a whole number, 109 is a factor of 1744

Since 1744 divided by 218 is a whole number, 218 is a factor of 1744

Since 1744 divided by 436 is a whole number, 436 is a factor of 1744

Since 1744 divided by 872 is a whole number, 872 is a factor of 1744

Multiples of 1744 are all integers divisible by 1744 , i.e. the remainder of the full division by 1744 is zero. There are infinite multiples of 1744. The smallest multiples of 1744 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1744 since 0 × 1744 = 0

1744 : in fact, 1744 is a multiple of itself, since 1744 is divisible by 1744 (it was 1744 / 1744 = 1, so the rest of this division is zero)

3488: in fact, 3488 = 1744 × 2

5232: in fact, 5232 = 1744 × 3

6976: in fact, 6976 = 1744 × 4

8720: in fact, 8720 = 1744 × 5

etc.

It is possible to determine using mathematical techniques whether an integer is prime or not.

for 1744, the answer is:
**No, 1744 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 1744). 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 41.761 ). 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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