Yes, you can easily divide the number up to that number. If it gets divided by someone other than itself and 1, it is not prime.
That's finding the prime factorization.
k>root of p
Actually, there are plenty of those. The oldest might be this well-known formula by Euler: n^2 - n + 41 gives a prime for all positive integers smaller than 41.
No difference. Once you've found the factors of a number, the prime numbers on that list are the prime factors.
All numbers have factors. Some factors are prime numbers, some are composite numbers, one is neither. When finding the factors of a number, you find all the factors. The prime factorization is a multiplication string of just prime factors that will total the given number.
The procedure to find all factors of a number are: 1) Separate the number into prime factors. 2) Try out all combinations of those factors.
There is a proof that there is no such formula for generating all the prime numbers. Best, TSA
Prime Factorization is finding which prime numbers multiply together to make the original number.
It is: 630 by finding the prime factors of the given numbers
finding the prime factors of a composite number
There are infinitely many rays.