2009is an odd number,as it is not divisible by 2
The factors for 2009 are all the numbers between -2009 and 2009 , which divide 2009 without leaving any remainder. Since 2009 divided by -2009 is an integer, -2009 is a factor of 2009 .
Since 2009 divided by -2009 is a whole number, -2009 is a factor of 2009
Since 2009 divided by -287 is a whole number, -287 is a factor of 2009
Since 2009 divided by -49 is a whole number, -49 is a factor of 2009
Since 2009 divided by -41 is a whole number, -41 is a factor of 2009
Since 2009 divided by -7 is a whole number, -7 is a factor of 2009
Since 2009 divided by -1 is a whole number, -1 is a factor of 2009
Multiples of 2009 are all integers divisible by 2009 , i.e. the remainder of the full division by 2009 is zero. There are infinite multiples of 2009. The smallest multiples of 2009 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2009, the answer is: No, 2009 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 2009). 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 44.822 ). 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: 2003
Next prime number: 2011