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What is the greatest value of y such that 3^y is a factor of 9! ?

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What is the greatest value of y such that 3^y is a factor of 9! ?  [#permalink]

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New post 27 Dec 2016, 09:03
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A
B
C
D
E

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(N/A)

Question Stats:

81% (00:35) correct 19% (00:38) wrong based on 80 sessions

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Re: What is the greatest value of y such that 3^y is a factor of 9! ?  [#permalink]

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New post 28 Dec 2016, 19:55
1
Bunuel wrote:
What is the greatest value of y such that \(3^y\) is a factor of 9! ?

A. 1
B. 2
C. 3
D. 4
E. 10


Hi,
Number is 9/3=3.... This is equal to no of numbers div by 3
9/3^2=1.... This gives you number div by 9

Total 3+1=4
D
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Re: What is the greatest value of y such that 3^y is a factor of 9! ?  [#permalink]

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New post 29 Dec 2016, 11:33
Bunuel wrote:
What is the greatest value of y such that \(3^y\) is a factor of 9! ?

A. 1
B. 2
C. 3
D. 4
E. 10


The greatest value of 3 in 9! will be

9/3 = 3
3/3 = 1

Hence, the value of y will be (D) 4


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Re: What is the greatest value of y such that 3^y is a factor of 9! ?  [#permalink]

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New post 30 Dec 2018, 20:40
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Re: What is the greatest value of y such that 3^y is a factor of 9! ?   [#permalink] 30 Dec 2018, 20:40
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