4009is an odd number,as it is not divisible by 2
The factors for 4009 are all the numbers between -4009 and 4009 , which divide 4009 without leaving any remainder. Since 4009 divided by -4009 is an integer, -4009 is a factor of 4009 .
Since 4009 divided by -4009 is a whole number, -4009 is a factor of 4009
Since 4009 divided by -211 is a whole number, -211 is a factor of 4009
Since 4009 divided by -19 is a whole number, -19 is a factor of 4009
Since 4009 divided by -1 is a whole number, -1 is a factor of 4009
Multiples of 4009 are all integers divisible by 4009 , i.e. the remainder of the full division by 4009 is zero. There are infinite multiples of 4009. The smallest multiples of 4009 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4009, the answer is: No, 4009 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 4009). 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 63.317 ). 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: 4013