4007is an odd number,as it is not divisible by 2
The factors for 4007 are all the numbers between -4007 and 4007 , which divide 4007 without leaving any remainder. Since 4007 divided by -4007 is an integer, -4007 is a factor of 4007 .
Since 4007 divided by -4007 is a whole number, -4007 is a factor of 4007
Since 4007 divided by -1 is a whole number, -1 is a factor of 4007
Multiples of 4007 are all integers divisible by 4007 , i.e. the remainder of the full division by 4007 is zero. There are infinite multiples of 4007. The smallest multiples of 4007 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4007, the answer is: yes, 4007 is a prime number because it only has two different divisors: 1 and itself (4007).
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 4007). 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 63.301 ). 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