find:

17 div 3

17mod3

-17div3

-17mod3

((25 mod 3)+(32 mod 3)) mod 3

true or false

1) -1= 99 mod 10

2) 23 mod | 0

3) 0 | 23

4) if a and b are positive integers then ab=gcd(a,b) .lcm (a,b)

5) find the prim factorizationf 1500

6) suppose a|b and c|d prove that ac bd

7) prove that 1.1!+2.2!+3.3!+...+n.n!=(n+1)! - 1 for positive integers n