<t>Don't know yet the answer, but might have some clue.Denote x=100a, y=100b, z=100c, so that all x, y, z are positive integer.x+y+z=9,009.x*y*z=90,090,000=90,000*1,001=2^4*3^2*5^4*7*11*13So x, y, z must be integers containing 2, 3, 5, 7, 11, 13 raised to appropriate powers. This might solve your pr...