In addition we can say of the number 8014 that it is even
8014 is an even number, as it is divisible by 2 : 8014/2 = 4007
The factors for 8014 are all the numbers between -8014 and 8014 , which divide 8014 without leaving any remainder. Since 8014 divided by -8014 is an integer, -8014 is a factor of 8014 .
Since 8014 divided by -8014 is a whole number, -8014 is a factor of 8014
Since 8014 divided by -4007 is a whole number, -4007 is a factor of 8014
Since 8014 divided by -2 is a whole number, -2 is a factor of 8014
Since 8014 divided by -1 is a whole number, -1 is a factor of 8014
Multiples of 8014 are all integers divisible by 8014 , i.e. the remainder of the full division by 8014 is zero. There are infinite multiples of 8014. The smallest multiples of 8014 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 8014, the answer is: No, 8014 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 8014). 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 89.521 ). 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: 8011
Next prime number: 8017