4013is an odd number,as it is not divisible by 2
The factors for 4013 are all the numbers between -4013 and 4013 , which divide 4013 without leaving any remainder. Since 4013 divided by -4013 is an integer, -4013 is a factor of 4013 .
Since 4013 divided by -4013 is a whole number, -4013 is a factor of 4013
Since 4013 divided by -1 is a whole number, -1 is a factor of 4013
Multiples of 4013 are all integers divisible by 4013 , i.e. the remainder of the full division by 4013 is zero. There are infinite multiples of 4013. The smallest multiples of 4013 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4013, the answer is: yes, 4013 is a prime number because it only has two different divisors: 1 and itself (4013).
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 4013). 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 63.348 ). 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.
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Next prime number: 4019