The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
5002 is multiplo of 1
5002 is multiplo of 2
5002 is multiplo of 41
5002 is multiplo of 61
5002 is multiplo of 82
5002 is multiplo of 122
5002 is multiplo of 2501
5002 has 7 positive divisors
In addition we can say of the number 5002 that it is even
5002 is an even number, as it is divisible by 2 : 5002/2 = 2501
The factors for 5002 are all the numbers between -5002 and 5002 , which divide 5002 without leaving any remainder. Since 5002 divided by -5002 is an integer, -5002 is a factor of 5002 .
Since 5002 divided by -5002 is a whole number, -5002 is a factor of 5002
Since 5002 divided by -2501 is a whole number, -2501 is a factor of 5002
Since 5002 divided by -122 is a whole number, -122 is a factor of 5002
Since 5002 divided by -82 is a whole number, -82 is a factor of 5002
Since 5002 divided by -61 is a whole number, -61 is a factor of 5002
Since 5002 divided by -41 is a whole number, -41 is a factor of 5002
Since 5002 divided by -2 is a whole number, -2 is a factor of 5002
Since 5002 divided by -1 is a whole number, -1 is a factor of 5002
Multiples of 5002 are all integers divisible by 5002 , i.e. the remainder of the full division by 5002 is zero. There are infinite multiples of 5002. The smallest multiples of 5002 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5002, the answer is: No, 5002 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 5002). 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 70.725 ). 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: 4999
Next prime number: 5003