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

Accordingly:

**150** is multiplo of **1**

**150** is multiplo of **2**

**150** is multiplo of **3**

**150** is multiplo of **5**

**150** is multiplo of **6**

**150** is multiplo of **10**

**150** is multiplo of **15**

**150** is multiplo of **25**

**150** is multiplo of **30**

**150** is multiplo of **50**

**150** is multiplo of **75**

**150** has **11 positive divisors **

In addition we can say of the number **150 that it is even**

150 is an even number, as it is divisible by 2 : 150/2 = 75

The factors for 150 are all the numbers between -150 and 150 , which divide 150 without leaving any remainder. Since 150 divided by -150 is an integer, -150 is a factor of 150 .

Since 150 divided by -150 is a whole number, -150 is a factor of 150

Since 150 divided by -75 is a whole number, -75 is a factor of 150

Since 150 divided by -50 is a whole number, -50 is a factor of 150

Since 150 divided by -30 is a whole number, -30 is a factor of 150

Since 150 divided by -25 is a whole number, -25 is a factor of 150

Since 150 divided by -15 is a whole number, -15 is a factor of 150

Since 150 divided by -10 is a whole number, -10 is a factor of 150

Since 150 divided by -6 is a whole number, -6 is a factor of 150

Since 150 divided by -5 is a whole number, -5 is a factor of 150

Since 150 divided by -3 is a whole number, -3 is a factor of 150

Since 150 divided by -2 is a whole number, -2 is a factor of 150

Since 150 divided by -1 is a whole number, -1 is a factor of 150

Since 150 divided by 1 is a whole number, 1 is a factor of 150

Since 150 divided by 2 is a whole number, 2 is a factor of 150

Since 150 divided by 3 is a whole number, 3 is a factor of 150

Since 150 divided by 5 is a whole number, 5 is a factor of 150

Since 150 divided by 6 is a whole number, 6 is a factor of 150

Since 150 divided by 10 is a whole number, 10 is a factor of 150

Since 150 divided by 15 is a whole number, 15 is a factor of 150

Since 150 divided by 25 is a whole number, 25 is a factor of 150

Since 150 divided by 30 is a whole number, 30 is a factor of 150

Since 150 divided by 50 is a whole number, 50 is a factor of 150

Since 150 divided by 75 is a whole number, 75 is a factor of 150

Multiples of 150 are all integers divisible by 150 , i.e. the remainder of the full division by 150 is zero. There are infinite multiples of 150. The smallest multiples of 150 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 150 since 0 × 150 = 0

150 : in fact, 150 is a multiple of itself, since 150 is divisible by 150 (it was 150 / 150 = 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 150, the answer is:
**No, 150 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 150). 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 12.247 ). 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: 151

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