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# The highest power of 3 that divide 100! is

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Math Expert
Joined: 02 Sep 2009
Posts: 58404
The highest power of 3 that divide 100! is  [#permalink]

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29 Jan 2019, 23:43
00:00

Difficulty:

35% (medium)

Question Stats:

57% (01:19) correct 43% (01:21) wrong based on 55 sessions

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The highest positive integer power of 3 that divide 100! is

A. 84
B. 48
C. 47
D. 44
E. 43

_________________
Director
Joined: 09 Mar 2018
Posts: 994
Location: India
The highest power of 3 that divide 100! is  [#permalink]

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Updated on: 30 Jan 2019, 09:06
Bunuel wrote:
The highest positive integer power of 3 that divide 100! is

A. 84
B. 48
C. 47
D. 44
E. 43

IMO B

Tested using this
https://gmatclub.com/forum/everything-a ... 85592.html

100/3 + 100/9 + 100/27 + 100/81

48

Posted from my mobile device
_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Originally posted by KanishkM on 29 Jan 2019, 23:48.
Last edited by KanishkM on 30 Jan 2019, 09:06, edited 1 time in total.
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The highest power of 3 that divide 100! is  [#permalink]

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30 Jan 2019, 02:05
1
Bunuel wrote:
The highest positive integer power of 3 that divide 100! is

A. 84
B. 48
C. 47
D. 44
E. 43

100!/3+ 100!/9+100!/27+100!/81

33+11+3+1
48
IMO B
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The highest power of 3 that divide 100! is  [#permalink]

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30 Jan 2019, 02:06
1
KanishkM wrote:
Bunuel wrote:
The highest positive integer power of 3 that divide 100! is

A. 84
B. 48
C. 47
D. 44
E. 43

IMO C

Tested using this
https://gmatclub.com/forum/everything-a ... 85592.html

100/3 + 100/9 + 100/27 + 100/81

47

Posted from my mobile device

KanishkM
Re: The highest power of 3 that divide 100! is   [#permalink] 30 Jan 2019, 02:06
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