If RAT = (R+A+T) × R×A×T,then what is RAT?
Are there possibilities other than 000, 135, 144?
The answer is:
No, there are no other solutions than the ones you found.
I got this by brute forcing it with this code:
Dim r As Integer Dim a As Integer Dim t As Integer Dim rat As Integer For r = 0 To 9 For a = 0 To 9 For t = 0 To 9 rat = r * 100 + a * 10 + t If rat = (r + a + t) * r * a * t Then Console.WriteLine(rat) End If Next Next Next