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What is the largest integer n such that 2^n is a factor of 2

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What is the largest integer n such that 2^n is a factor of 2 [#permalink]

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New post 20 Aug 2013, 11:24
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What is the largest integer n such that 2^n is a factor of 20^8 ?

(A) 1
(B) 2
(C) 4
(D) 8
(E) 16
[Reveal] Spoiler: OA

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Last edited by Bunuel on 20 Aug 2013, 11:25, edited 1 time in total.
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Re: 1. What is the largest integer n such that 2^n is a factor [#permalink]

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New post 20 Aug 2013, 11:27
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Asifpirlo wrote:
1. What is the largest integer n such that 2^n is a factor of 20^8 ?

(A) 1 (B) 2 (C) 4 (D) 8 (E) 16
.

\(20^8 = (2*2*5)^8 = 2^{16}*5^8\)
CLEARLY maximum possible value of \(n = 16\)

hence E
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Re: What is the largest integer n such that 2^n is a factor of 2 [#permalink]

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What is the largest integer n such that 2^n is a factor of 20^8? [#permalink]

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New post 17 Oct 2017, 11:21
SajjadAhmad wrote:
What is the largest integer n such that 2^n is a factor of 20^8?

(A) 1
(B) 2
(C) 4
(D) 8
(E) 16


\(20^8=(4*5)^8=2^{16}*5^8\)

so \(n=16\)

Option E
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What is the largest integer n such that 2^n is a factor of 2 [#permalink]

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New post 17 Oct 2017, 20:04
What is the largest integer n such that 2^n is a factor of 2   [#permalink] 17 Oct 2017, 20:04
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