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# The factorial expression 13!/7! is not divisible by which of the follo

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The factorial expression 13!/7! is not divisible by which of the follo  [#permalink]

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02 Jun 2016, 04:46
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The factorial expression 13!/7! is not divisible by which of the following integers?

(A) 3
(B) 5
(C) 6
(D) 7
(E) 9

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Re: The factorial expression 13!/7! is not divisible by which of the follo  [#permalink]

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02 Jun 2016, 05:51
13!/7! can be reduced to 13*12*11*.... 8.

We can see that out of the options provided to us, 7 is not a part of this number. Hence D.
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Re: The factorial expression 13!/7! is not divisible by which of the follo  [#permalink]

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02 Jun 2016, 06:13
1
Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

(A) 3
(B) 5
(C) 6
(D) 7
(E) 9

13!/7! can be written as 13*12*11*10*9*8

There is no factor of 7 in this expression. Hence D is the answer
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Re: The factorial expression 13!/7! is not divisible by which of the follo  [#permalink]

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02 Jun 2016, 11:26
1
13!/7!
= (13*12 * 11 *10 * 9 * 8 * 7!)/7!
= 13*12 * 11 * 10 * 9*8
The given factorial expression is not divisible by 7
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Re: The factorial expression 13!/7! is not divisible by which of the follo  [#permalink]

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02 Jun 2016, 11:33
2
Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

(A) 3
(B) 5
(C) 6
(D) 7
(E) 9

13!/7! => 13 x 12 x 11 x 10 x 9 x 8

(A) 3 Can divide 12 or 9
(B) 5 Can divide 10
(C) 6 Can divide 12

(D) 7 None of the Multiplicands present
(E) 9 Can divide 9

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The factorial expression 13!/7! is not divisible by which of the follo  [#permalink]

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04 Jun 2016, 13:32
Bunuel wrote:
The factorial expression 13!/7! is not divisible by which of the following integers?

(A) 3
(B) 5
(C) 6
(D) 7
(E) 9

Factorial expression $$\frac{13!}{7!}$$=13*12*11*10*9*8 ,which is divisible by each answer choice except D.

So the Correct Answer is D
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Re: The factorial expression 13!/7! is not divisible by which of the follo  [#permalink]

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17 Jul 2017, 15:13
= 13*12*11*10*9*8

As we check the answer choices we see we are not having any integer that number 7 can divide.

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Re: The factorial expression 13!/7! is not divisible by which of the follo   [#permalink] 17 Jul 2017, 15:13
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