In addition we can say of the number 4006 that it is even
4006 is an even number, as it is divisible by 2 : 4006/2 = 2003
The factors for 4006 are all the numbers between -4006 and 4006 , which divide 4006 without leaving any remainder. Since 4006 divided by -4006 is an integer, -4006 is a factor of 4006 .
Since 4006 divided by -4006 is a whole number, -4006 is a factor of 4006
Since 4006 divided by -2003 is a whole number, -2003 is a factor of 4006
Since 4006 divided by -2 is a whole number, -2 is a factor of 4006
Since 4006 divided by -1 is a whole number, -1 is a factor of 4006
Multiples of 4006 are all integers divisible by 4006 , i.e. the remainder of the full division by 4006 is zero. There are infinite multiples of 4006. The smallest multiples of 4006 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4006, the answer is: No, 4006 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 4006). 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 63.293 ). 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: 4003
Next prime number: 4007