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In addition we can say of the number 18014 that it is even
18014 is an even number, as it is divisible by 2 : 18014/2 = 9007
The factors for 18014 are all the numbers between -18014 and 18014 , which divide 18014 without leaving any remainder. Since 18014 divided by -18014 is an integer, -18014 is a factor of 18014 .
Since 18014 divided by -18014 is a whole number, -18014 is a factor of 18014
Since 18014 divided by -9007 is a whole number, -9007 is a factor of 18014
Since 18014 divided by -2 is a whole number, -2 is a factor of 18014
Since 18014 divided by -1 is a whole number, -1 is a factor of 18014
Since 18014 divided by 1 is a whole number, 1 is a factor of 18014
Since 18014 divided by 2 is a whole number, 2 is a factor of 18014
Since 18014 divided by 9007 is a whole number, 9007 is a factor of 18014
Multiples of 18014 are all integers divisible by 18014 , i.e. the remainder of the full division by 18014 is zero. There are infinite multiples of 18014. The smallest multiples of 18014 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 18014 since 0 × 18014 = 0
18014 : in fact, 18014 is a multiple of itself, since 18014 is divisible by 18014 (it was 18014 / 18014 = 1, so the rest of this division is zero)
36028: in fact, 36028 = 18014 × 2
54042: in fact, 54042 = 18014 × 3
72056: in fact, 72056 = 18014 × 4
90070: in fact, 90070 = 18014 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 18014, the answer is: No, 18014 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 18014). 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 134.216 ). 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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