4003is an odd number,as it is not divisible by 2
The factors for 4003 are all the numbers between -4003 and 4003 , which divide 4003 without leaving any remainder. Since 4003 divided by -4003 is an integer, -4003 is a factor of 4003 .
Since 4003 divided by -4003 is a whole number, -4003 is a factor of 4003
Since 4003 divided by -1 is a whole number, -1 is a factor of 4003
Multiples of 4003 are all integers divisible by 4003 , i.e. the remainder of the full division by 4003 is zero. There are infinite multiples of 4003. The smallest multiples of 4003 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 4003, the answer is: yes, 4003 is a prime number because it only has two different divisors: 1 and itself (4003).
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 4003). 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 63.269 ). 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: 4007