discrete mathematics - direct proof when a is even and b is a multiple of 3 then ab is a multiple of 6

Consider the statement: for all integers a and b, if a is even and b is a multiple of 3, then ab is a multiple of 6. a) prove the statement using direct proof and b) state the converse. Is it true? prove or disprove

I have been staring at this problem for three days, any help would be greatly appreciated.