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If RAT = (R+A+T) × R×A×T,then what is RAT?

Are there possibilities other than 000, 135, 144?

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  • 3
    $\begingroup$ This user is asking questions an ongoing contest! Please flag it for deletion. $\endgroup$ – ABcDexter Aug 17 '16 at 12:26
  • $\begingroup$ @ABcDexter This post contains the policy regarding contest questions. If you can provide a link to a contest containing this question that meets the criteria in the meta post linked above, the post will be locked until the contest is complete. $\endgroup$ – GentlePurpleRain Aug 17 '16 at 17:38
2
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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
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  • $\begingroup$ Hey look at that! Someone actually uses Visual Basic for stuff! Take that Tucker! $\endgroup$ – Areeb Sep 7 '16 at 11:48

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