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

Accordingly:

**1696** is multiplo of **1**

**1696** is multiplo of **2**

**1696** is multiplo of **4**

**1696** is multiplo of **8**

**1696** is multiplo of **16**

**1696** is multiplo of **32**

**1696** is multiplo of **53**

**1696** is multiplo of **106**

**1696** is multiplo of **212**

**1696** is multiplo of **424**

**1696** is multiplo of **848**

**1696** has **11 positive divisors **

In addition we can say of the number **1696 that it is even**

1696 is an even number, as it is divisible by 2 : 1696/2 = 848

The factors for 1696 are all the numbers between -1696 and 1696 , which divide 1696 without leaving any remainder. Since 1696 divided by -1696 is an integer, -1696 is a factor of 1696 .

Since 1696 divided by -1696 is a whole number, -1696 is a factor of 1696

Since 1696 divided by -848 is a whole number, -848 is a factor of 1696

Since 1696 divided by -424 is a whole number, -424 is a factor of 1696

Since 1696 divided by -212 is a whole number, -212 is a factor of 1696

Since 1696 divided by -106 is a whole number, -106 is a factor of 1696

Since 1696 divided by -53 is a whole number, -53 is a factor of 1696

Since 1696 divided by -32 is a whole number, -32 is a factor of 1696

Since 1696 divided by -16 is a whole number, -16 is a factor of 1696

Since 1696 divided by -8 is a whole number, -8 is a factor of 1696

Since 1696 divided by -4 is a whole number, -4 is a factor of 1696

Since 1696 divided by -2 is a whole number, -2 is a factor of 1696

Since 1696 divided by -1 is a whole number, -1 is a factor of 1696

Since 1696 divided by 1 is a whole number, 1 is a factor of 1696

Since 1696 divided by 2 is a whole number, 2 is a factor of 1696

Since 1696 divided by 4 is a whole number, 4 is a factor of 1696

Since 1696 divided by 8 is a whole number, 8 is a factor of 1696

Since 1696 divided by 16 is a whole number, 16 is a factor of 1696

Since 1696 divided by 32 is a whole number, 32 is a factor of 1696

Since 1696 divided by 53 is a whole number, 53 is a factor of 1696

Since 1696 divided by 106 is a whole number, 106 is a factor of 1696

Since 1696 divided by 212 is a whole number, 212 is a factor of 1696

Since 1696 divided by 424 is a whole number, 424 is a factor of 1696

Since 1696 divided by 848 is a whole number, 848 is a factor of 1696

Multiples of 1696 are all integers divisible by 1696 , i.e. the remainder of the full division by 1696 is zero. There are infinite multiples of 1696. The smallest multiples of 1696 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1696 since 0 × 1696 = 0

1696 : in fact, 1696 is a multiple of itself, since 1696 is divisible by 1696 (it was 1696 / 1696 = 1, so the rest of this division is zero)

3392: in fact, 3392 = 1696 × 2

5088: in fact, 5088 = 1696 × 3

6784: in fact, 6784 = 1696 × 4

8480: in fact, 8480 = 1696 × 5

etc.

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

for 1696, the answer is:
**No, 1696 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 1696). 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 41.183 ). 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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