Primes
As mentioned before: an integer is prime if the only divisors of said integer are ±1, or ± said-integer, but 0 and ±1 are not considered to be prime. (Think about it any integer divides
zero – let q be any non-zero integer then q|0 in other words 0=q*n where n is an integer since q is not zero n=0, and one divides any integer–let k be any non-zero integer then 1|k).
Every integer may be written as a product of primes, here are a few examples to clarify what this means:
Number
9
10
35
51
10923
9
10
35
51
10923
Product of Primes
3*3
2*5
5*7
3*17
3*11*331
3*3
2*5
5*7
3*17
3*11*331