5003is an odd number,as it is not divisible by 2
The factors for 5003 are all the numbers between -5003 and 5003 , which divide 5003 without leaving any remainder. Since 5003 divided by -5003 is an integer, -5003 is a factor of 5003 .
Since 5003 divided by -5003 is a whole number, -5003 is a factor of 5003
Since 5003 divided by -1 is a whole number, -1 is a factor of 5003
Multiples of 5003 are all integers divisible by 5003 , i.e. the remainder of the full division by 5003 is zero. There are infinite multiples of 5003. The smallest multiples of 5003 are:
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 5003, the answer is: yes, 5003 is a prime number because it only has two different divisors: 1 and itself (5003).
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 5003). 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 70.732 ). 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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