MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Middle School Tournaments
LMT
2016 LMT
7
2016 LMT Individual #7
2016 LMT Individual #7
Source:
April 10, 2016
Problem Statement
Compute the product of the three smallest prime factors of
21
!
⋅
14
!
+
21
!
⋅
21
+
14
!
⋅
14
+
21
⋅
14.
21!\cdot 14!+21!\cdot 21+14!\cdot 14+21\cdot 14.
21
!
⋅
14
!
+
21
!
⋅
21
+
14
!
⋅
14
+
21
⋅
14.
Proposed by Daniel Liu
Back to Problems
View on AoPS