MathDB

18

Part of 2014 Harvard-MIT Mathematics Tournament

Problems(1)

2014 Guts #18: Product of Factors of 30 Exceeds 900

Source:

4/21/2014
Find the number of ordered quadruples of positive integers (a,b,c,d)(a,b,c,d) such that a,b,c,a,b,c, and dd are all (not necessarily distinct) factors of 3030 and abcd>900abcd>900.