In addition we can say of the number 5006 that it is even
5006 is an even number, as it is divisible by 2 : 5006/2 = 2503
The factors for 5006 are all the numbers between -5006 and 5006 , which divide 5006 without leaving any remainder. Since 5006 divided by -5006 is an integer, -5006 is a factor of 5006 .
Since 5006 divided by -5006 is a whole number, -5006 is a factor of 5006
Since 5006 divided by -2503 is a whole number, -2503 is a factor of 5006
Since 5006 divided by -2 is a whole number, -2 is a factor of 5006
Since 5006 divided by -1 is a whole number, -1 is a factor of 5006
Multiples of 5006 are all integers divisible by 5006 , i.e. the remainder of the full division by 5006 is zero. There are infinite multiples of 5006. The smallest multiples of 5006 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5006, the answer is: No, 5006 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 5006). 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 70.753 ). 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: 5003
Next prime number: 5009