2005is an odd number,as it is not divisible by 2
The factors for 2005 are all the numbers between -2005 and 2005 , which divide 2005 without leaving any remainder. Since 2005 divided by -2005 is an integer, -2005 is a factor of 2005 .
Since 2005 divided by -2005 is a whole number, -2005 is a factor of 2005
Since 2005 divided by -401 is a whole number, -401 is a factor of 2005
Since 2005 divided by -5 is a whole number, -5 is a factor of 2005
Since 2005 divided by -1 is a whole number, -1 is a factor of 2005
Multiples of 2005 are all integers divisible by 2005 , i.e. the remainder of the full division by 2005 is zero. There are infinite multiples of 2005. The smallest multiples of 2005 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2005, the answer is: No, 2005 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 2005). 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 44.777 ). 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