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Least prime factor of (7! + 7)

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Manager
Manager
Joined: 12 Jan 2016
Posts: 144
Followers: 1

Kudos [?]: 71 [0], given: 17

Least prime factor of (7! + 7) [#permalink] New post 01 Sep 2016, 04:41
00:00

Question Stats:

60% (02:08) correct 40% (02:21) wrong based on 5 sessions
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.
[Reveal] Spoiler: OA
Manager
Manager
Joined: 12 Jan 2016
Posts: 144
Followers: 1

Kudos [?]: 71 [0], given: 17

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.
3 KUDOS received
Intern
Intern
Joined: 03 Jun 2016
Posts: 37
Followers: 0

Kudos [?]: 26 [3] , given: 4

Re: Least prime factor of (7! + 7) [#permalink] New post 01 Sep 2016, 07:03
3
This post received
KUDOS
7!+7= 7(6!+1)= 7*721 => least prime factor is 7
7!= 7*6! => greatest prime factor is 7

Answer C
1 KUDOS received
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 1228
Followers: 45

Kudos [?]: 1105 [1] , given: 7

Re: Least prime factor of (7! + 7) [#permalink] New post 09 Jun 2017, 13:42
1
This post received
KUDOS
Expert's post
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:
[Reveal] Spoiler:
C


Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: Least prime factor of (7! + 7)   [#permalink] 09 Jun 2017, 13:42
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