document.write( "Question 1191126: In what bases b, does (b+8) divide into (7b+8) with no remainder \n" ); document.write( "
Algebra.Com's Answer #822892 by Edwin McCravy(20060)\"\" \"About 
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document.write( "Whether an integer divides into another integer with zero remainder has\r\n" );
document.write( "nothing to do with what number base the integer is expressed in, so it's\r\n" );
document.write( "as true in base ten as any other.\r\n" );
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document.write( "          7\r\n" );
document.write( " b+8) 7b+ 8\r\n" );
document.write( "      7b+56\r\n" );
document.write( "        -48 \r\n" );
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document.write( "\"7-48%2F%28b%2B8%29\"\r\n" );
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document.write( "This will only be a positive integer if \"48%2F%28b%2B8%29\" is a positive\r\n" );
document.write( "integer.  \r\n" );
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document.write( "The divisors of 48 are 1,2,4,6,8,12,16,24,48\r\n" );
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document.write( "b+8 =  1, 2, 4, 6,8,12,16,24,48\r\n" );
document.write( "  b = -7,-6,-4,-2,0, 4, 8,16,40\r\n" );
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document.write( "The only valid values of b which can be number bases are the positive \r\n" );
document.write( "ones: 4, 8, 16, and 40.\r\n" );
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document.write( "Edwin
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