positive integer

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ferpape: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Fri Aug 28, 2009 10:28 am

by ferpape » Tue Sep 08, 2009 2:32 pm

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

Source: Beat The GMAT — Problem Solving | Tue Sep 08, 2009 2:32 pm

tom4lax: Master | Next Rank: 500 Posts; Posts: 175; Joined: Mon Feb 09, 2009 3:57 pm; Thanked: 4 times

by tom4lax » Tue Sep 08, 2009 2:37 pm

IMO D

75^3 = (5*5*3)^3 = (5^6)(3^3)

what are the maximum number of 5's? 6.

bharathh: Master | Next Rank: 500 Posts; Posts: 159; Joined: Thu Aug 27, 2009 10:30 am; Thanked: 19 times

by bharathh » Tue Sep 08, 2009 10:21 pm

Yup D . Same explanation as tom

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