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positive integer

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Newbie | Next Rank: 10 Posts
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positive integer

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
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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.
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by bharathh » Tue Sep 08, 2009 10:21 pm
Yup D . Same explanation as tom
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