If p is the product of the integers from 1 to 30, inclusive,

by **jon_shibata** Sun Oct 05, 2008 7:39 pm

QUESTION:
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

ANSWER:
30/3 + 30/9 + 30/27

10 + 3 + 1 = 14

THIS IS THE ANSWER, BUT I STILL DON'T GET THE LOGIC BEHIND THE WORK...CAN SOMEONE EXPLAIN THIS FURTHER?

by **StaceyKoprince** Mon Oct 06, 2008 2:52 pm

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