1) A Prime number should have exactly two distinct factors. The factors are 1 and
the number itself.
2) If n is a prime number, then, n should not be a factor of (n-1)!
Ex: 5 is a prime. 4!=24. 5 is not a factor of 24.
3) Any prime number greater than or equal to 3, can be expressed in a form of
6K+1 or 6k-1 ; where K=0,1,2,3,4,..................
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The divisibility rules for a prime number is if it is ONLY divisible by 1, and itself.
Prime numbers are positive integers which can be evenly divided only by 1 and themselves. There is no other rule for all prime numbers.
Any two prime numbers will be relatively prime. Numbers are relatively prime if they do not have any prime factors in common. Prime numbers have only themselves as prime factors, so all prime numbers are relatively prime to the others.
Products of prime numbers are composite numbers.
The opposite of prime numbers are composite numbers.