The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
1002 is multiplo of 1
1002 is multiplo of 2
1002 is multiplo of 3
1002 is multiplo of 6
1002 is multiplo of 167
1002 is multiplo of 334
1002 is multiplo of 501
1002 has 7 positive divisors
In addition we can say of the number 1002 that it is even
1002 is an even number, as it is divisible by 2 : 1002/2 = 501
The factors for 1002 are all the numbers between -1002 and 1002 , which divide 1002 without leaving any remainder. Since 1002 divided by -1002 is an integer, -1002 is a factor of 1002 .
Since 1002 divided by -1002 is a whole number, -1002 is a factor of 1002
Since 1002 divided by -501 is a whole number, -501 is a factor of 1002
Since 1002 divided by -334 is a whole number, -334 is a factor of 1002
Since 1002 divided by -167 is a whole number, -167 is a factor of 1002
Since 1002 divided by -6 is a whole number, -6 is a factor of 1002
Since 1002 divided by -3 is a whole number, -3 is a factor of 1002
Since 1002 divided by -2 is a whole number, -2 is a factor of 1002
Since 1002 divided by -1 is a whole number, -1 is a factor of 1002
Multiples of 1002 are all integers divisible by 1002 , i.e. the remainder of the full division by 1002 is zero. There are infinite multiples of 1002. The smallest multiples of 1002 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 1002, the answer is: No, 1002 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 1002). 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 31.654 ). 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.
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