In addition we can say of the number 2012 that it is even
2012 is an even number, as it is divisible by 2 : 2012/2 = 1006
The factors for 2012 are all the numbers between -2012 and 2012 , which divide 2012 without leaving any remainder. Since 2012 divided by -2012 is an integer, -2012 is a factor of 2012 .
Since 2012 divided by -2012 is a whole number, -2012 is a factor of 2012
Since 2012 divided by -1006 is a whole number, -1006 is a factor of 2012
Since 2012 divided by -503 is a whole number, -503 is a factor of 2012
Since 2012 divided by -4 is a whole number, -4 is a factor of 2012
Since 2012 divided by -2 is a whole number, -2 is a factor of 2012
Since 2012 divided by -1 is a whole number, -1 is a factor of 2012
Multiples of 2012 are all integers divisible by 2012 , i.e. the remainder of the full division by 2012 is zero. There are infinite multiples of 2012. The smallest multiples of 2012 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2012, the answer is: No, 2012 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 2012). 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 44.855 ). 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: 2011
Next prime number: 2017