In addition we can say of the number 2018 that it is even
2018 is an even number, as it is divisible by 2 : 2018/2 = 1009
The factors for 2018 are all the numbers between -2018 and 2018 , which divide 2018 without leaving any remainder. Since 2018 divided by -2018 is an integer, -2018 is a factor of 2018 .
Since 2018 divided by -2018 is a whole number, -2018 is a factor of 2018
Since 2018 divided by -1009 is a whole number, -1009 is a factor of 2018
Since 2018 divided by -2 is a whole number, -2 is a factor of 2018
Since 2018 divided by -1 is a whole number, -1 is a factor of 2018
Multiples of 2018 are all integers divisible by 2018 , i.e. the remainder of the full division by 2018 is zero. There are infinite multiples of 2018. The smallest multiples of 2018 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2018, the answer is: No, 2018 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 2018). 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 44.922 ). 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 prime number: 2017
Next prime number: 2027