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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:

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

_________________

(A) 10

(B) 12

(C) 16

(D) 20

(E) 60

_________________

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

2

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

(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]
17 Aug 2021, 18:30

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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