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In addition we can say of the number **3988 that it is even**

3988 is an even number, as it is divisible by 2 : 3988/2 = 1994

The factors for 3988 are all the numbers between -3988 and 3988 , which divide 3988 without leaving any remainder. Since 3988 divided by -3988 is an integer, -3988 is a factor of 3988 .

Since 3988 divided by -3988 is a whole number, -3988 is a factor of 3988

Since 3988 divided by -1994 is a whole number, -1994 is a factor of 3988

Since 3988 divided by -997 is a whole number, -997 is a factor of 3988

Since 3988 divided by -4 is a whole number, -4 is a factor of 3988

Since 3988 divided by -2 is a whole number, -2 is a factor of 3988

Since 3988 divided by -1 is a whole number, -1 is a factor of 3988

Since 3988 divided by 1 is a whole number, 1 is a factor of 3988

Since 3988 divided by 2 is a whole number, 2 is a factor of 3988

Since 3988 divided by 4 is a whole number, 4 is a factor of 3988

Since 3988 divided by 997 is a whole number, 997 is a factor of 3988

Since 3988 divided by 1994 is a whole number, 1994 is a factor of 3988

Multiples of 3988 are all integers divisible by 3988 , i.e. the remainder of the full division by 3988 is zero. There are infinite multiples of 3988. The smallest multiples of 3988 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3988 since 0 × 3988 = 0

3988 : in fact, 3988 is a multiple of itself, since 3988 is divisible by 3988 (it was 3988 / 3988 = 1, so the rest of this division is zero)

7976: in fact, 7976 = 3988 × 2

11964: in fact, 11964 = 3988 × 3

15952: in fact, 15952 = 3988 × 4

19940: in fact, 19940 = 3988 × 5

etc.

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

for 3988, the answer is:
**No, 3988 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 3988). 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 63.151 ). 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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