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

Accordingly:

**60** is multiplo of **1**

**60** is multiplo of **2**

**60** is multiplo of **3**

**60** is multiplo of **4**

**60** is multiplo of **5**

**60** is multiplo of **6**

**60** is multiplo of **10**

**60** is multiplo of **12**

**60** is multiplo of **15**

**60** is multiplo of **20**

**60** is multiplo of **30**

**60** has **11 positive divisors **

In addition we can say of the number **60 that it is even**

60 is an even number, as it is divisible by 2 : 60/2 = 30

The factors for 60 are all the numbers between -60 and 60 , which divide 60 without leaving any remainder. Since 60 divided by -60 is an integer, -60 is a factor of 60 .

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

Since 60 divided by -30 is a whole number, -30 is a factor of 60

Since 60 divided by -20 is a whole number, -20 is a factor of 60

Since 60 divided by -15 is a whole number, -15 is a factor of 60

Since 60 divided by -12 is a whole number, -12 is a factor of 60

Since 60 divided by -10 is a whole number, -10 is a factor of 60

Since 60 divided by -6 is a whole number, -6 is a factor of 60

Since 60 divided by -5 is a whole number, -5 is a factor of 60

Since 60 divided by -4 is a whole number, -4 is a factor of 60

Since 60 divided by -3 is a whole number, -3 is a factor of 60

Since 60 divided by -2 is a whole number, -2 is a factor of 60

Since 60 divided by -1 is a whole number, -1 is a factor of 60

Since 60 divided by 1 is a whole number, 1 is a factor of 60

Since 60 divided by 2 is a whole number, 2 is a factor of 60

Since 60 divided by 3 is a whole number, 3 is a factor of 60

Since 60 divided by 4 is a whole number, 4 is a factor of 60

Since 60 divided by 5 is a whole number, 5 is a factor of 60

Since 60 divided by 6 is a whole number, 6 is a factor of 60

Since 60 divided by 10 is a whole number, 10 is a factor of 60

Since 60 divided by 12 is a whole number, 12 is a factor of 60

Since 60 divided by 15 is a whole number, 15 is a factor of 60

Since 60 divided by 20 is a whole number, 20 is a factor of 60

Since 60 divided by 30 is a whole number, 30 is a factor of 60

Multiples of 60 are all integers divisible by 60 , i.e. the remainder of the full division by 60 is zero. There are infinite multiples of 60. The smallest multiples of 60 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 60 since 0 × 60 = 0

60 : in fact, 60 is a multiple of itself, since 60 is divisible by 60 (it was 60 / 60 = 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 60, the answer is:
**No, 60 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 60). 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 7.746 ). 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: 61

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