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Least prime factor of (7! + 7)

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Sonalika42
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Least prime factor of (7! + 7) [#permalink] New post   01 Sep 2016, 04:41
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Quantity A
Quantity B
Least prime factor of (7! + 7)
Greatest prime factor of 7!





A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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C
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Sonalika42
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Re: Least prime factor of (7! + 7) [#permalink] New post   01 Sep 2016, 04:44
Please provide your answer with explaination as i am confused.
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Re: Least prime factor of (7! + 7) [#permalink] New post   01 Sep 2016, 07:03
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7!+7= 7(6!+1)= 7*721 => least prime factor is 7
7!= 7*6! => greatest prime factor is 7

Answer C
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Re: Least prime factor of (7! + 7) [#permalink] New post   09 Jun 2017, 13:42
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Sonalika42 wrote:
Quantity A
Quantity B
Least prime factor of (7! + 7)
Greatest prime factor of 7!





A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Quantity A: Least prime factor of (7! + 7)
7! + 7 = 7(6! + 1)
= 7(6 x 5 x 4 x 3 x 2 x 1 + 1)
= 7(720 + 1)
= (7)(721)
= (7)(7)(103)
Since 103 is prime, the least prime factor is 7


Quantity B: Greatest prime factor of 7!
7! = (7)(6)(5)(4)(3)(2)(1)
= (7)(2)(3)(5)(2)(2)(3)(2)(1)
The greatest prime factor is 7

So...
Quantity A: 7
Quantity B: 7

Answer:
Show: ::
C


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Brent
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Re: Least prime factor of (7! + 7) [#permalink] New post   20 Sep 2024, 22:00
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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Re: Least prime factor of (7! + 7) [#permalink]
20 Sep 2024, 22:00
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