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roger federer
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Topic: PS

Thu Mar 11, 2010 3:19 pm

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If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for
which 3^k is a factor of p?
A. 10
B. 12
C. 14
D. 16
E. 18

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dmateer25
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Thu Mar 11, 2010 4:01 pm

3 - 1 factor of 3 6 - 1 factor of 3 9 - 2 factors of 3 12 - 1 factor of 3 15 - 1 factor of 3 18 - 2 factors of 3 21 - 1 factor of 3 24 - 1 factor of 3 27 - 3 factors of 3 30 - 1 factor of 3 add them all up and you get 14 C _________________ http://thembapath.blogspot.com/