2011is an odd number,as it is not divisible by 2
The factors for 2011 are all the numbers between -2011 and 2011 , which divide 2011 without leaving any remainder. Since 2011 divided by -2011 is an integer, -2011 is a factor of 2011 .
Since 2011 divided by -2011 is a whole number, -2011 is a factor of 2011
Since 2011 divided by -1 is a whole number, -1 is a factor of 2011
Multiples of 2011 are all integers divisible by 2011 , i.e. the remainder of the full division by 2011 is zero. There are infinite multiples of 2011. The smallest multiples of 2011 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2011, the answer is: yes, 2011 is a prime number because it only has two different divisors: 1 and itself (2011).
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 2011). 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 44.844 ). 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: 2017