18013is an odd number,as it is not divisible by 2
The factors for 18013 are all the numbers between -18013 and 18013 , which divide 18013 without leaving any remainder. Since 18013 divided by -18013 is an integer, -18013 is a factor of 18013 .
Since 18013 divided by -18013 is a whole number, -18013 is a factor of 18013
Since 18013 divided by -1 is a whole number, -1 is a factor of 18013
Since 18013 divided by 1 is a whole number, 1 is a factor of 18013
Multiples of 18013 are all integers divisible by 18013 , i.e. the remainder of the full division by 18013 is zero. There are infinite multiples of 18013. The smallest multiples of 18013 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 18013 since 0 × 18013 = 0
18013 : in fact, 18013 is a multiple of itself, since 18013 is divisible by 18013 (it was 18013 / 18013 = 1, so the rest of this division is zero)
36026: in fact, 36026 = 18013 × 2
54039: in fact, 54039 = 18013 × 3
72052: in fact, 72052 = 18013 × 4
90065: in fact, 90065 = 18013 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 18013, the answer is: yes, 18013 is a prime number because it only has two different divisors: 1 and itself (18013).
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 18013). 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 134.213 ). 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.
Previous Numbers: ... 18011, 18012
Next Numbers: 18014, 18015 ...
Previous prime number: 17989
Next prime number: 18041