The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
10002 is multiplo of 1
10002 is multiplo of 2
10002 is multiplo of 3
10002 is multiplo of 6
10002 is multiplo of 1667
10002 is multiplo of 3334
10002 is multiplo of 5001
10002 has 7 positive divisors
In addition we can say of the number 10002 that it is even
10002 is an even number, as it is divisible by 2 : 10002/2 = 5001
The factors for 10002 are all the numbers between -10002 and 10002 , which divide 10002 without leaving any remainder. Since 10002 divided by -10002 is an integer, -10002 is a factor of 10002 .
Since 10002 divided by -10002 is a whole number, -10002 is a factor of 10002
Since 10002 divided by -5001 is a whole number, -5001 is a factor of 10002
Since 10002 divided by -3334 is a whole number, -3334 is a factor of 10002
Since 10002 divided by -1667 is a whole number, -1667 is a factor of 10002
Since 10002 divided by -6 is a whole number, -6 is a factor of 10002
Since 10002 divided by -3 is a whole number, -3 is a factor of 10002
Since 10002 divided by -2 is a whole number, -2 is a factor of 10002
Since 10002 divided by -1 is a whole number, -1 is a factor of 10002
Multiples of 10002 are all integers divisible by 10002 , i.e. the remainder of the full division by 10002 is zero. There are infinite multiples of 10002. The smallest multiples of 10002 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 10002, the answer is: No, 10002 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 10002). 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 100.01 ). 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: 9973
Next prime number: 10007