In addition we can say of the number 8002 that it is even
8002 is an even number, as it is divisible by 2 : 8002/2 = 4001
The factors for 8002 are all the numbers between -8002 and 8002 , which divide 8002 without leaving any remainder. Since 8002 divided by -8002 is an integer, -8002 is a factor of 8002 .
Since 8002 divided by -8002 is a whole number, -8002 is a factor of 8002
Since 8002 divided by -4001 is a whole number, -4001 is a factor of 8002
Since 8002 divided by -2 is a whole number, -2 is a factor of 8002
Since 8002 divided by -1 is a whole number, -1 is a factor of 8002
Multiples of 8002 are all integers divisible by 8002 , i.e. the remainder of the full division by 8002 is zero. There are infinite multiples of 8002. The smallest multiples of 8002 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8002, the answer is: No, 8002 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 8002). 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 89.454 ). 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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