mohdabbas5 wrote:
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
IMO C
18!= 3^8 =5^3
20!=3^8 =5^4
Largest possible value of p=4
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
IMO C
18!= 3^8 =5^3
20!=3^8 =5^4
Largest possible value of p=4
![Midge Ure – A Man of Two Worlds (2026) [Official Digital Download 24bit/96kHz]](http://imghd.xyz/images/2026/05/09/zvc67e2mth34l_600.jpg)
.jpg)
