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# What is the greatest positive integer n such that 2" is a fa

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What is the greatest positive integer n such that 2" is a fa [#permalink]  09 Jun 2018, 08:39
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Question Stats:

100% (00:32) correct 0% (00:00) wrong based on 6 sessions
What is the greatest positive integer n such that $$2^n$$ is a factor of $$12^{10}$$?

(A) 10

(B) 12

(C) 16

(D) 20

(E) 60
[Reveal] Spoiler: OA

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Re: What is the greatest positive integer n such that 2" is a fa [#permalink]  09 Jun 2018, 11:01
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Carcass wrote:
What is the greatest positive integer n such that $$2^n$$ is a factor of $$12^{10}$$?

(A) 10

(B) 12

(C) 16

(D) 20

(E) 60

Now factorize $$12^{10}$$. ( 2*2*3)

We get finally $$2^{20}$$ * $$3^{10}$$.

$$2^n$$ = $$2^{20}$$

n = 20.

Ans D.
Re: What is the greatest positive integer n such that 2" is a fa   [#permalink] 09 Jun 2018, 11:01
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