Product of 235base6×14base6

Answer 1

235base6×14base6
= (2(6^2) + 3(6) + 5)(1(6) + 4) in base 10
= 95*10
= 950 in base 10
= 4(6^3) + 2(6^2) + 2(6) + 2
= 4222 in base 6

or
create a base 6 multiplication table, then do the multiplication directly in base 6
--- but why ??