The list of all positive divisors (that is, the list of all integers that divide 22) is as follows :
2013 is multiplo of 1
2013 is multiplo of 3
2013 is multiplo of 11
2013 is multiplo of 33
2013 is multiplo of 61
2013 is multiplo of 183
2013 is multiplo of 671
2013 has 7 positive divisors
2013is an odd number,as it is not divisible by 2
The factors for 2013 are all the numbers between -2013 and 2013 , which divide 2013 without leaving any remainder. Since 2013 divided by -2013 is an integer, -2013 is a factor of 2013 .
Since 2013 divided by -2013 is a whole number, -2013 is a factor of 2013
Since 2013 divided by -671 is a whole number, -671 is a factor of 2013
Since 2013 divided by -183 is a whole number, -183 is a factor of 2013
Since 2013 divided by -61 is a whole number, -61 is a factor of 2013
Since 2013 divided by -33 is a whole number, -33 is a factor of 2013
Since 2013 divided by -11 is a whole number, -11 is a factor of 2013
Since 2013 divided by -3 is a whole number, -3 is a factor of 2013
Since 2013 divided by -1 is a whole number, -1 is a factor of 2013
Multiples of 2013 are all integers divisible by 2013 , i.e. the remainder of the full division by 2013 is zero. There are infinite multiples of 2013. The smallest multiples of 2013 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 2013, the answer is: No, 2013 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 2013). 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 44.866 ). 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