If z is a positive integer and 75^3 is a multiple of 5^z, what is the largest possible value of z?
A.3
B.4
C.5
D.6
E.7
A.3
B.4
C.5
D.6
E.7
IMO D
75^3 = (5*5*3)^3 = (5^6)(3^3)
what are the maximum number of 5's? 6.
