The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
2008 is multiplo of 1
2008 is multiplo of 2
2008 is multiplo of 4
2008 is multiplo of 8
2008 is multiplo of 251
2008 is multiplo of 502
2008 is multiplo of 1004
2008 has 7 positive divisors
In addition we can say of the number 2008 that it is even
2008 is an even number, as it is divisible by 2 : 2008/2 = 1004
The factors for 2008 are all the numbers between -2008 and 2008 , which divide 2008 without leaving any remainder. Since 2008 divided by -2008 is an integer, -2008 is a factor of 2008 .
Since 2008 divided by -2008 is a whole number, -2008 is a factor of 2008
Since 2008 divided by -1004 is a whole number, -1004 is a factor of 2008
Since 2008 divided by -502 is a whole number, -502 is a factor of 2008
Since 2008 divided by -251 is a whole number, -251 is a factor of 2008
Since 2008 divided by -8 is a whole number, -8 is a factor of 2008
Since 2008 divided by -4 is a whole number, -4 is a factor of 2008
Since 2008 divided by -2 is a whole number, -2 is a factor of 2008
Since 2008 divided by -1 is a whole number, -1 is a factor of 2008
Multiples of 2008 are all integers divisible by 2008 , i.e. the remainder of the full division by 2008 is zero. There are infinite multiples of 2008. The smallest multiples of 2008 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2008, the answer is: No, 2008 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 2008). 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 44.811 ). 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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Next prime number: 2011