## 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