If p is the product of the integers from 1 to 30, inclusive, : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 16 Jan 2017, 10:55

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
Intern
Joined: 15 Oct 2007
Posts: 15
Followers: 0

Kudos [?]: 6 [0], given: 0

If p is the product of the integers from 1 to 30, inclusive, [#permalink]

### Show Tags

17 Oct 2007, 00:53
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
VP
Joined: 09 Jul 2007
Posts: 1104
Location: London
Followers: 6

Kudos [?]: 103 [0], given: 0

### Show Tags

17 Oct 2007, 02:18
mistahfold wrote:
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

it is 30!
1*2*3*4*....27*28*29*30

there are 10 integers divisible by 3 (30/3=10)

3,3*2,3*3,3*4,3*5...3*3*3,10*3

14 C
Director
Joined: 03 May 2007
Posts: 886
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 190 [0], given: 7

### Show Tags

17 Oct 2007, 06:34
mistahfold wrote:
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

30/3 = 10
30/9 = 3
30/27 = 1
sum = 14

so C.
Re: Factor Q   [#permalink] 17 Oct 2007, 06:34
Display posts from previous: Sort by