Please help with this problem!
Find the number of triples of positive integers (a,b,c) that satisfy a*b*c = 40.
Factors of 40 = 1,2,4,5, 8,10, 20
(1, 2, 20)
(1,4, 10)
(1, 5, 8)
(2, 4, 5)
We can arrange each of these in 3! = 6 ways
So...we have 4 * 3! = 24 total triples