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

Accordingly:

**1680** is multiplo of **1**

**1680** is multiplo of **2**

**1680** is multiplo of **3**

**1680** is multiplo of **4**

**1680** is multiplo of **5**

**1680** is multiplo of **6**

**1680** is multiplo of **7**

**1680** is multiplo of **8**

**1680** is multiplo of **10**

**1680** is multiplo of **12**

**1680** is multiplo of **14**

**1680** is multiplo of **15**

**1680** is multiplo of **16**

**1680** is multiplo of **20**

**1680** is multiplo of **21**

**1680** is multiplo of **24**

**1680** is multiplo of **28**

**1680** is multiplo of **30**

**1680** is multiplo of **35**

**1680** is multiplo of **40**

**1680** is multiplo of **42**

**1680** is multiplo of **48**

**1680** is multiplo of **56**

**1680** is multiplo of **60**

**1680** is multiplo of **70**

**1680** is multiplo of **80**

**1680** is multiplo of **84**

**1680** is multiplo of **105**

**1680** is multiplo of **112**

**1680** is multiplo of **120**

**1680** is multiplo of **140**

**1680** is multiplo of **168**

**1680** is multiplo of **210**

**1680** is multiplo of **240**

**1680** is multiplo of **280**

**1680** is multiplo of **336**

**1680** is multiplo of **420**

**1680** is multiplo of **560**

**1680** is multiplo of **840**

**1680** has **39 positive divisors **

In addition we can say of the number **1680 that it is even**

1680 is an even number, as it is divisible by 2 : 1680/2 = 840

The factors for 1680 are all the numbers between -1680 and 1680 , which divide 1680 without leaving any remainder. Since 1680 divided by -1680 is an integer, -1680 is a factor of 1680 .

Since 1680 divided by -1680 is a whole number, -1680 is a factor of 1680

Since 1680 divided by -840 is a whole number, -840 is a factor of 1680

Since 1680 divided by -560 is a whole number, -560 is a factor of 1680

Since 1680 divided by -420 is a whole number, -420 is a factor of 1680

Since 1680 divided by -336 is a whole number, -336 is a factor of 1680

Since 1680 divided by -280 is a whole number, -280 is a factor of 1680

Since 1680 divided by -240 is a whole number, -240 is a factor of 1680

Since 1680 divided by -210 is a whole number, -210 is a factor of 1680

Since 1680 divided by -168 is a whole number, -168 is a factor of 1680

Since 1680 divided by -140 is a whole number, -140 is a factor of 1680

Since 1680 divided by -120 is a whole number, -120 is a factor of 1680

Since 1680 divided by -112 is a whole number, -112 is a factor of 1680

Since 1680 divided by -105 is a whole number, -105 is a factor of 1680

Since 1680 divided by -84 is a whole number, -84 is a factor of 1680

Since 1680 divided by -80 is a whole number, -80 is a factor of 1680

Since 1680 divided by -70 is a whole number, -70 is a factor of 1680

Since 1680 divided by -60 is a whole number, -60 is a factor of 1680

Since 1680 divided by -56 is a whole number, -56 is a factor of 1680

Since 1680 divided by -48 is a whole number, -48 is a factor of 1680

Since 1680 divided by -42 is a whole number, -42 is a factor of 1680

Since 1680 divided by -40 is a whole number, -40 is a factor of 1680

Since 1680 divided by -35 is a whole number, -35 is a factor of 1680

Since 1680 divided by -30 is a whole number, -30 is a factor of 1680

Since 1680 divided by -28 is a whole number, -28 is a factor of 1680

Since 1680 divided by -24 is a whole number, -24 is a factor of 1680

Since 1680 divided by -21 is a whole number, -21 is a factor of 1680

Since 1680 divided by -20 is a whole number, -20 is a factor of 1680

Since 1680 divided by -16 is a whole number, -16 is a factor of 1680

Since 1680 divided by -15 is a whole number, -15 is a factor of 1680

Since 1680 divided by -14 is a whole number, -14 is a factor of 1680

Since 1680 divided by -12 is a whole number, -12 is a factor of 1680

Since 1680 divided by -10 is a whole number, -10 is a factor of 1680

Since 1680 divided by -8 is a whole number, -8 is a factor of 1680

Since 1680 divided by -7 is a whole number, -7 is a factor of 1680

Since 1680 divided by -6 is a whole number, -6 is a factor of 1680

Since 1680 divided by -5 is a whole number, -5 is a factor of 1680

Since 1680 divided by -4 is a whole number, -4 is a factor of 1680

Since 1680 divided by -3 is a whole number, -3 is a factor of 1680

Since 1680 divided by -2 is a whole number, -2 is a factor of 1680

Since 1680 divided by -1 is a whole number, -1 is a factor of 1680

Since 1680 divided by 1 is a whole number, 1 is a factor of 1680

Since 1680 divided by 2 is a whole number, 2 is a factor of 1680

Since 1680 divided by 3 is a whole number, 3 is a factor of 1680

Since 1680 divided by 4 is a whole number, 4 is a factor of 1680

Since 1680 divided by 5 is a whole number, 5 is a factor of 1680

Since 1680 divided by 6 is a whole number, 6 is a factor of 1680

Since 1680 divided by 7 is a whole number, 7 is a factor of 1680

Since 1680 divided by 8 is a whole number, 8 is a factor of 1680

Since 1680 divided by 10 is a whole number, 10 is a factor of 1680

Since 1680 divided by 12 is a whole number, 12 is a factor of 1680

Since 1680 divided by 14 is a whole number, 14 is a factor of 1680

Since 1680 divided by 15 is a whole number, 15 is a factor of 1680

Since 1680 divided by 16 is a whole number, 16 is a factor of 1680

Since 1680 divided by 20 is a whole number, 20 is a factor of 1680

Since 1680 divided by 21 is a whole number, 21 is a factor of 1680

Since 1680 divided by 24 is a whole number, 24 is a factor of 1680

Since 1680 divided by 28 is a whole number, 28 is a factor of 1680

Since 1680 divided by 30 is a whole number, 30 is a factor of 1680

Since 1680 divided by 35 is a whole number, 35 is a factor of 1680

Since 1680 divided by 40 is a whole number, 40 is a factor of 1680

Since 1680 divided by 42 is a whole number, 42 is a factor of 1680

Since 1680 divided by 48 is a whole number, 48 is a factor of 1680

Since 1680 divided by 56 is a whole number, 56 is a factor of 1680

Since 1680 divided by 60 is a whole number, 60 is a factor of 1680

Since 1680 divided by 70 is a whole number, 70 is a factor of 1680

Since 1680 divided by 80 is a whole number, 80 is a factor of 1680

Since 1680 divided by 84 is a whole number, 84 is a factor of 1680

Since 1680 divided by 105 is a whole number, 105 is a factor of 1680

Since 1680 divided by 112 is a whole number, 112 is a factor of 1680

Since 1680 divided by 120 is a whole number, 120 is a factor of 1680

Since 1680 divided by 140 is a whole number, 140 is a factor of 1680

Since 1680 divided by 168 is a whole number, 168 is a factor of 1680

Since 1680 divided by 210 is a whole number, 210 is a factor of 1680

Since 1680 divided by 240 is a whole number, 240 is a factor of 1680

Since 1680 divided by 280 is a whole number, 280 is a factor of 1680

Since 1680 divided by 336 is a whole number, 336 is a factor of 1680

Since 1680 divided by 420 is a whole number, 420 is a factor of 1680

Since 1680 divided by 560 is a whole number, 560 is a factor of 1680

Since 1680 divided by 840 is a whole number, 840 is a factor of 1680

Multiples of 1680 are all integers divisible by 1680 , i.e. the remainder of the full division by 1680 is zero. There are infinite multiples of 1680. The smallest multiples of 1680 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1680 since 0 × 1680 = 0

1680 : in fact, 1680 is a multiple of itself, since 1680 is divisible by 1680 (it was 1680 / 1680 = 1, so the rest of this division is zero)

3360: in fact, 3360 = 1680 × 2

5040: in fact, 5040 = 1680 × 3

6720: in fact, 6720 = 1680 × 4

8400: in fact, 8400 = 1680 × 5

etc.

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

for 1680, the answer is:
**No, 1680 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 1680). 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 40.988 ). 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: 1693

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