In addition we can say of the number 18002 that it is even
18002 is an even number, as it is divisible by 2 : 18002/2 = 9001
The factors for 18002 are all the numbers between -18002 and 18002 , which divide 18002 without leaving any remainder. Since 18002 divided by -18002 is an integer, -18002 is a factor of 18002 .
Since 18002 divided by -18002 is a whole number, -18002 is a factor of 18002
Since 18002 divided by -9001 is a whole number, -9001 is a factor of 18002
Since 18002 divided by -2 is a whole number, -2 is a factor of 18002
Since 18002 divided by -1 is a whole number, -1 is a factor of 18002
Since 18002 divided by 1 is a whole number, 1 is a factor of 18002
Since 18002 divided by 2 is a whole number, 2 is a factor of 18002
Since 18002 divided by 9001 is a whole number, 9001 is a factor of 18002
Multiples of 18002 are all integers divisible by 18002 , i.e. the remainder of the full division by 18002 is zero. There are infinite multiples of 18002. The smallest multiples of 18002 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 18002 since 0 × 18002 = 0
18002 : in fact, 18002 is a multiple of itself, since 18002 is divisible by 18002 (it was 18002 / 18002 = 1, so the rest of this division is zero)
36004: in fact, 36004 = 18002 × 2
54006: in fact, 54006 = 18002 × 3
72008: in fact, 72008 = 18002 × 4
90010: in fact, 90010 = 18002 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 18002, the answer is: No, 18002 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 18002). 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 134.172 ). 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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