In addition we can say of the number 6002 that it is even
6002 is an even number, as it is divisible by 2 : 6002/2 = 3001
The factors for 6002 are all the numbers between -6002 and 6002 , which divide 6002 without leaving any remainder. Since 6002 divided by -6002 is an integer, -6002 is a factor of 6002 .
Since 6002 divided by -6002 is a whole number, -6002 is a factor of 6002
Since 6002 divided by -3001 is a whole number, -3001 is a factor of 6002
Since 6002 divided by -2 is a whole number, -2 is a factor of 6002
Since 6002 divided by -1 is a whole number, -1 is a factor of 6002
Multiples of 6002 are all integers divisible by 6002 , i.e. the remainder of the full division by 6002 is zero. There are infinite multiples of 6002. The smallest multiples of 6002 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 6002, the answer is: No, 6002 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 6002). 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 77.473 ). 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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