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

Accordingly:

**1488** is multiplo of **1**

**1488** is multiplo of **2**

**1488** is multiplo of **3**

**1488** is multiplo of **4**

**1488** is multiplo of **6**

**1488** is multiplo of **8**

**1488** is multiplo of **12**

**1488** is multiplo of **16**

**1488** is multiplo of **24**

**1488** is multiplo of **31**

**1488** is multiplo of **48**

**1488** is multiplo of **62**

**1488** is multiplo of **93**

**1488** is multiplo of **124**

**1488** is multiplo of **186**

**1488** is multiplo of **248**

**1488** is multiplo of **372**

**1488** is multiplo of **496**

**1488** is multiplo of **744**

**1488** has **19 positive divisors **

In addition we can say of the number **1488 that it is even**

1488 is an even number, as it is divisible by 2 : 1488/2 = 744

The factors for 1488 are all the numbers between -1488 and 1488 , which divide 1488 without leaving any remainder. Since 1488 divided by -1488 is an integer, -1488 is a factor of 1488 .

Since 1488 divided by -1488 is a whole number, -1488 is a factor of 1488

Since 1488 divided by -744 is a whole number, -744 is a factor of 1488

Since 1488 divided by -496 is a whole number, -496 is a factor of 1488

Since 1488 divided by -372 is a whole number, -372 is a factor of 1488

Since 1488 divided by -248 is a whole number, -248 is a factor of 1488

Since 1488 divided by -186 is a whole number, -186 is a factor of 1488

Since 1488 divided by -124 is a whole number, -124 is a factor of 1488

Since 1488 divided by -93 is a whole number, -93 is a factor of 1488

Since 1488 divided by -62 is a whole number, -62 is a factor of 1488

Since 1488 divided by -48 is a whole number, -48 is a factor of 1488

Since 1488 divided by -31 is a whole number, -31 is a factor of 1488

Since 1488 divided by -24 is a whole number, -24 is a factor of 1488

Since 1488 divided by -16 is a whole number, -16 is a factor of 1488

Since 1488 divided by -12 is a whole number, -12 is a factor of 1488

Since 1488 divided by -8 is a whole number, -8 is a factor of 1488

Since 1488 divided by -6 is a whole number, -6 is a factor of 1488

Since 1488 divided by -4 is a whole number, -4 is a factor of 1488

Since 1488 divided by -3 is a whole number, -3 is a factor of 1488

Since 1488 divided by -2 is a whole number, -2 is a factor of 1488

Since 1488 divided by -1 is a whole number, -1 is a factor of 1488

Since 1488 divided by 1 is a whole number, 1 is a factor of 1488

Since 1488 divided by 2 is a whole number, 2 is a factor of 1488

Since 1488 divided by 3 is a whole number, 3 is a factor of 1488

Since 1488 divided by 4 is a whole number, 4 is a factor of 1488

Since 1488 divided by 6 is a whole number, 6 is a factor of 1488

Since 1488 divided by 8 is a whole number, 8 is a factor of 1488

Since 1488 divided by 12 is a whole number, 12 is a factor of 1488

Since 1488 divided by 16 is a whole number, 16 is a factor of 1488

Since 1488 divided by 24 is a whole number, 24 is a factor of 1488

Since 1488 divided by 31 is a whole number, 31 is a factor of 1488

Since 1488 divided by 48 is a whole number, 48 is a factor of 1488

Since 1488 divided by 62 is a whole number, 62 is a factor of 1488

Since 1488 divided by 93 is a whole number, 93 is a factor of 1488

Since 1488 divided by 124 is a whole number, 124 is a factor of 1488

Since 1488 divided by 186 is a whole number, 186 is a factor of 1488

Since 1488 divided by 248 is a whole number, 248 is a factor of 1488

Since 1488 divided by 372 is a whole number, 372 is a factor of 1488

Since 1488 divided by 496 is a whole number, 496 is a factor of 1488

Since 1488 divided by 744 is a whole number, 744 is a factor of 1488

Multiples of 1488 are all integers divisible by 1488 , i.e. the remainder of the full division by 1488 is zero. There are infinite multiples of 1488. The smallest multiples of 1488 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 1488 since 0 × 1488 = 0

1488 : in fact, 1488 is a multiple of itself, since 1488 is divisible by 1488 (it was 1488 / 1488 = 1, so the rest of this division is zero)

2976: in fact, 2976 = 1488 × 2

4464: in fact, 4464 = 1488 × 3

5952: in fact, 5952 = 1488 × 4

7440: in fact, 7440 = 1488 × 5

etc.

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

for 1488, the answer is:
**No, 1488 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 1488). 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 38.575 ). 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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