Question 1191126
<pre>
Whether an integer divides into another integer with zero remainder has
nothing to do with what number base the integer is expressed in, so it's
as true in base ten as any other.
      
    <u>      7</u>
 b+8) 7b+ 8
      <u>7b+56</u>
        -48 
        
{{{7-48/(b+8)}}}

This will only be a positive integer if {{{48/(b+8)}}} is a positive
integer.  
   
The divisors of 48 are 1,2,4,6,8,12,16,24,48

b+8 =  1, 2, 4, 6,8,12,16,24,48
  b = -7,-6,-4,-2,0, 4, 8,16,40

The only valid values of b which can be number bases are the positive 
ones: 4, 8, 16, and 40.

Edwin</pre>