In addition we can say of the number 4022 that it is even
4022 is an even number, as it is divisible by 2 : 4022/2 = 2011
The factors for 4022 are all the numbers between -4022 and 4022 , which divide 4022 without leaving any remainder. Since 4022 divided by -4022 is an integer, -4022 is a factor of 4022 .
Since 4022 divided by -4022 is a whole number, -4022 is a factor of 4022
Since 4022 divided by -2011 is a whole number, -2011 is a factor of 4022
Since 4022 divided by -2 is a whole number, -2 is a factor of 4022
Since 4022 divided by -1 is a whole number, -1 is a factor of 4022
Multiples of 4022 are all integers divisible by 4022 , i.e. the remainder of the full division by 4022 is zero. There are infinite multiples of 4022. The smallest multiples of 4022 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4022, the answer is: No, 4022 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 4022). 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 63.419 ). 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: 4021
Next prime number: 4027