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

Accordingly:

**420** is multiplo of **1**

**420** is multiplo of **2**

**420** is multiplo of **3**

**420** is multiplo of **4**

**420** is multiplo of **5**

**420** is multiplo of **6**

**420** is multiplo of **7**

**420** is multiplo of **10**

**420** is multiplo of **12**

**420** is multiplo of **14**

**420** is multiplo of **15**

**420** is multiplo of **20**

**420** is multiplo of **21**

**420** is multiplo of **28**

**420** is multiplo of **30**

**420** is multiplo of **35**

**420** is multiplo of **42**

**420** is multiplo of **60**

**420** is multiplo of **70**

**420** is multiplo of **84**

**420** is multiplo of **105**

**420** is multiplo of **140**

**420** is multiplo of **210**

**420** has **23 positive divisors **

In addition we can say of the number **420 that it is even**

420 is an even number, as it is divisible by 2 : 420/2 = 210

The factors for 420 are all the numbers between -420 and 420 , which divide 420 without leaving any remainder. Since 420 divided by -420 is an integer, -420 is a factor of 420 .

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

Since 420 divided by -210 is a whole number, -210 is a factor of 420

Since 420 divided by -140 is a whole number, -140 is a factor of 420

Since 420 divided by -105 is a whole number, -105 is a factor of 420

Since 420 divided by -84 is a whole number, -84 is a factor of 420

Since 420 divided by -70 is a whole number, -70 is a factor of 420

Since 420 divided by -60 is a whole number, -60 is a factor of 420

Since 420 divided by -42 is a whole number, -42 is a factor of 420

Since 420 divided by -35 is a whole number, -35 is a factor of 420

Since 420 divided by -30 is a whole number, -30 is a factor of 420

Since 420 divided by -28 is a whole number, -28 is a factor of 420

Since 420 divided by -21 is a whole number, -21 is a factor of 420

Since 420 divided by -20 is a whole number, -20 is a factor of 420

Since 420 divided by -15 is a whole number, -15 is a factor of 420

Since 420 divided by -14 is a whole number, -14 is a factor of 420

Since 420 divided by -12 is a whole number, -12 is a factor of 420

Since 420 divided by -10 is a whole number, -10 is a factor of 420

Since 420 divided by -7 is a whole number, -7 is a factor of 420

Since 420 divided by -6 is a whole number, -6 is a factor of 420

Since 420 divided by -5 is a whole number, -5 is a factor of 420

Since 420 divided by -4 is a whole number, -4 is a factor of 420

Since 420 divided by -3 is a whole number, -3 is a factor of 420

Since 420 divided by -2 is a whole number, -2 is a factor of 420

Since 420 divided by -1 is a whole number, -1 is a factor of 420

Since 420 divided by 1 is a whole number, 1 is a factor of 420

Since 420 divided by 2 is a whole number, 2 is a factor of 420

Since 420 divided by 3 is a whole number, 3 is a factor of 420

Since 420 divided by 4 is a whole number, 4 is a factor of 420

Since 420 divided by 5 is a whole number, 5 is a factor of 420

Since 420 divided by 6 is a whole number, 6 is a factor of 420

Since 420 divided by 7 is a whole number, 7 is a factor of 420

Since 420 divided by 10 is a whole number, 10 is a factor of 420

Since 420 divided by 12 is a whole number, 12 is a factor of 420

Since 420 divided by 14 is a whole number, 14 is a factor of 420

Since 420 divided by 15 is a whole number, 15 is a factor of 420

Since 420 divided by 20 is a whole number, 20 is a factor of 420

Since 420 divided by 21 is a whole number, 21 is a factor of 420

Since 420 divided by 28 is a whole number, 28 is a factor of 420

Since 420 divided by 30 is a whole number, 30 is a factor of 420

Since 420 divided by 35 is a whole number, 35 is a factor of 420

Since 420 divided by 42 is a whole number, 42 is a factor of 420

Since 420 divided by 60 is a whole number, 60 is a factor of 420

Since 420 divided by 70 is a whole number, 70 is a factor of 420

Since 420 divided by 84 is a whole number, 84 is a factor of 420

Since 420 divided by 105 is a whole number, 105 is a factor of 420

Since 420 divided by 140 is a whole number, 140 is a factor of 420

Since 420 divided by 210 is a whole number, 210 is a factor of 420

Multiples of 420 are all integers divisible by 420 , i.e. the remainder of the full division by 420 is zero. There are infinite multiples of 420. The smallest multiples of 420 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 420 since 0 × 420 = 0

420 : in fact, 420 is a multiple of itself, since 420 is divisible by 420 (it was 420 / 420 = 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 420, the answer is:
**No, 420 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 420). 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 20.494 ). 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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