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National and Regional Contests
Vietnam Contests
Vietnam National Olympiad
1976 Vietnam National Olympiad
4
4
Part of
1976 Vietnam National Olympiad
Problems
(1)
find all 3 digit integers \overline{abc} = n so that 2n/3= a! b! c!
Source: Vietnamese MO (VMO) 1976 P4
8/20/2018
Find all three digit integers
a
b
c
‾
=
n
\overline{abc} = n
ab
c
=
n
, such that
2
n
3
=
a
!
b
!
c
!
\frac{2n}{3} = a! b! c!
3
2
n
=
a
!
b
!
c
!
number theory
Integer
integer equation
factorial equation