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
3^k
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30/3+30/(3^2)+30/(3^3) (stop at 3^3 as 3^4 >30)
=> 10+3+1 (taking the sum of the integral quotients)
=14
hence, C
=> 10+3+1 (taking the sum of the integral quotients)
=14
hence, C
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ykk,
refer to Ian's post in the link for the detailed explanation
https://www.beatthegmat.com/ps-confused- ... 21955.html
refer to Ian's post in the link for the detailed explanation
https://www.beatthegmat.com/ps-confused- ... 21955.html