If n is a positive integer and p is a prime number, is p a factor of n!?you specify for statement 2 the following sentence:(2) p is a factor of (n+2)!/n! --> \frac{(n+2)!}{n!}=(n+1)(n+2) --> if n=2 then (n+1)(n+2)=12 and for p=2 then answer will be YES but for p=3 the answer will be NO. Not sufficient.now consider (n+2)!/n!, this can be reduced to (n+1)(n+2), for n is odd, the expression is even,