The product of three whole numbers is 36. Five more than the sum of the three numbers is a perfect square. What is the sum of the numbers?
abc=36
The only factors of 36 are
1,2,3,4,6,9,12,18,36
The only sets of 3 factors are
1,1,36 sum=38
1,2,18 sum=21
1,3,12 sum=16
1,4,9 sum=14
1,6,6 sum=13
2,3,6 sum=11 + 5 = 16 we have a winner!
3,3,4 sum=13