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# What is the value of the smallest positive integer n for which 6^n is

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
What is the value of the smallest positive integer n for which 6^n is  [#permalink]

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29 Nov 2018, 00:34
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Difficulty:

15% (low)

Question Stats:

84% (01:09) correct 16% (01:11) wrong based on 50 sessions

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What is the value of the smallest positive integer n for which 6^n is a multiple of 24 ?

A. 1
B. 2
C. 3
D. 4
E. 5

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Concentration: Sustainability, Marketing
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What is the value of the smallest positive integer n for which 6^n is  [#permalink]

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Updated on: 29 Nov 2018, 04:05
Bunuel wrote:
What is the value of the smallest positive integer n for which 6^n is a multiple of 24 ?

A. 1
B. 2
C. 3
D. 4
E. 5

6^n= 6^1*2^2
6^n=6^1
6^3= 24^9

IMO C
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Originally posted by Archit3110 on 29 Nov 2018, 03:40.
Last edited by Archit3110 on 29 Nov 2018, 04:05, edited 1 time in total.
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Re: What is the value of the smallest positive integer n for which 6^n is  [#permalink]

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29 Nov 2018, 04:03
Bunuel wrote:
What is the value of the smallest positive integer n for which 6^n is a multiple of 24 ?

A. 1
B. 2
C. 3
D. 4
E. 5

multiples of 24- 24,48,.........216,240
6^1= 6
6^2=36
6^3=216
C:)
Re: What is the value of the smallest positive integer n for which 6^n is   [#permalink] 29 Nov 2018, 04:03
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# What is the value of the smallest positive integer n for which 6^n is

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