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In addition we can say of the number **3678 that it is even**

3678 is an even number, as it is divisible by 2 : 3678/2 = 1839

The factors for 3678 are all the numbers between -3678 and 3678 , which divide 3678 without leaving any remainder. Since 3678 divided by -3678 is an integer, -3678 is a factor of 3678 .

Since 3678 divided by -3678 is a whole number, -3678 is a factor of 3678

Since 3678 divided by -1839 is a whole number, -1839 is a factor of 3678

Since 3678 divided by -1226 is a whole number, -1226 is a factor of 3678

Since 3678 divided by -613 is a whole number, -613 is a factor of 3678

Since 3678 divided by -6 is a whole number, -6 is a factor of 3678

Since 3678 divided by -3 is a whole number, -3 is a factor of 3678

Since 3678 divided by -2 is a whole number, -2 is a factor of 3678

Since 3678 divided by -1 is a whole number, -1 is a factor of 3678

Since 3678 divided by 1 is a whole number, 1 is a factor of 3678

Since 3678 divided by 2 is a whole number, 2 is a factor of 3678

Since 3678 divided by 3 is a whole number, 3 is a factor of 3678

Since 3678 divided by 6 is a whole number, 6 is a factor of 3678

Since 3678 divided by 613 is a whole number, 613 is a factor of 3678

Since 3678 divided by 1226 is a whole number, 1226 is a factor of 3678

Since 3678 divided by 1839 is a whole number, 1839 is a factor of 3678

Multiples of 3678 are all integers divisible by 3678 , i.e. the remainder of the full division by 3678 is zero. There are infinite multiples of 3678. The smallest multiples of 3678 are:

0 : in fact, 0 is divisible by any integer, so it is also a multiple of 3678 since 0 × 3678 = 0

3678 : in fact, 3678 is a multiple of itself, since 3678 is divisible by 3678 (it was 3678 / 3678 = 1, so the rest of this division is zero)

7356: in fact, 7356 = 3678 × 2

11034: in fact, 11034 = 3678 × 3

14712: in fact, 14712 = 3678 × 4

18390: in fact, 18390 = 3678 × 5

etc.

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

for 3678, the answer is:
**No, 3678 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 3678). 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 60.647 ). 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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