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If the greatest integer k for which 3^k is a factor of n! is 8, what is the largest possible value of p
so that 5^p is a factor of n!?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
so that 5^p is a factor of n!?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
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Vinayak Shenoy
Joined: 06 Jun 2016
Last visit: 27 Jun 2017
Posts: 233
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Given Kudos: 212
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
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GPA: 3.9
29 Jan 2017, 00:49
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mohdabbas5
If the greatest integer k for which 3^k is a factor of n! is 8, what is the largest possible value of p
so that 5^p is a factor of n!?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
so that 5^p is a factor of n!?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
IMO C
18!= 3^8 =5^3
20!=3^8 =5^4
Largest possible value of p=4
shree1210
Joined: 08 Apr 2014
Last visit: 17 Oct 2023
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Location: India
Schools: Wharton '22 (WL) Sloan '22 (WL)
GMAT 1: 750 Q51 V40
29 Jan 2017, 01:48
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Hi there,
Just wanted to understand why have you posted this in the ISB forum?
Posted from my mobile device
Just wanted to understand why have you posted this in the ISB forum?
Posted from my mobile device
