A ) 3x5^47+2x5^48+6x5^49=
=5^47(3+2x5+6x5^2)=
=5^47(3+10+150)=5^47x153=5^47x3^2x17
B)9^1001+9^1000+7x9^999=
=9^999(9^2+9+7)=
=9^999(81+9+7)=
=9^999 x97
C) 7x4^35+2x4^36-4^34=
=4^34(7x4+2x4^2-1)=
=4^34(28+32-1)=
=4^34 x59
D)(13^14) x3-(13^13)x2-13^12=
=13^12(13^2 x3-13^1x2-1)=
=13^12(507-26-1)=
=13^2 x 480= 13^2 x 2^5 x 3x5
E)8^200-3*8^198+3*8^197 =
=8^197(8^3-3*8+3) =
=8^197(512-24+3)=
=8^197 x 491