4001is an odd number,as it is not divisible by 2
The factors for 4001 are all the numbers between -4001 and 4001 , which divide 4001 without leaving any remainder. Since 4001 divided by -4001 is an integer, -4001 is a factor of 4001 .
Since 4001 divided by -4001 is a whole number, -4001 is a factor of 4001
Since 4001 divided by -1 is a whole number, -1 is a factor of 4001
Multiples of 4001 are all integers divisible by 4001 , i.e. the remainder of the full division by 4001 is zero. There are infinite multiples of 4001. The smallest multiples of 4001 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4001, the answer is: yes, 4001 is a prime number because it only has two different divisors: 1 and itself (4001).
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 4001). 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 63.253 ). 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: 3989
Next prime number: 4003