In addition we can say of the number 3998 that it is even
3998 is an even number, as it is divisible by 2 : 3998/2 = 1999
The factors for 3998 are all the numbers between -3998 and 3998 , which divide 3998 without leaving any remainder. Since 3998 divided by -3998 is an integer, -3998 is a factor of 3998 .
Since 3998 divided by -3998 is a whole number, -3998 is a factor of 3998
Since 3998 divided by -1999 is a whole number, -1999 is a factor of 3998
Since 3998 divided by -2 is a whole number, -2 is a factor of 3998
Since 3998 divided by -1 is a whole number, -1 is a factor of 3998
Multiples of 3998 are all integers divisible by 3998 , i.e. the remainder of the full division by 3998 is zero. There are infinite multiples of 3998. The smallest multiples of 3998 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 3998, the answer is: No, 3998 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 3998). 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 63.23 ). 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: 4001