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# The highest power of 3 that divide 100! is

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Math Expert
Joined: 02 Sep 2009
Posts: 53004
The highest power of 3 that divide 100! is  [#permalink]

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29 Jan 2019, 22:43
00:00

Difficulty:

45% (medium)

Question Stats:

50% (01:24) correct 50% (01:13) wrong based on 38 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

_________________
VP
Joined: 09 Mar 2018
Posts: 1000
Location: India
The highest power of 3 that divide 100! is  [#permalink]

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Updated on: 30 Jan 2019, 08:06
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, 22:48.
Last edited by KanishkM on 30 Jan 2019, 08:06, edited 1 time in total.
SVP
Joined: 18 Aug 2017
Posts: 1846
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, 01:05
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
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If you liked my solution then please give Kudos. Kudos encourage active discussions.

SVP
Joined: 18 Aug 2017
Posts: 1846
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The highest power of 3 that divide 100! is  [#permalink]

### Show Tags

30 Jan 2019, 01:06
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
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

Re: The highest power of 3 that divide 100! is   [#permalink] 30 Jan 2019, 01:06
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