Final answer:
To construct the multiplication table for Z / 6, multiply each element of Z / 6 with every other element. The multiplication table will consist of the remainders of these multiplications when divided by 6.
Step-by-step explanation:
The multiplication table for Z / 6 can be constructed by multiplying each element of Z / 6 with every other element. Z / 6 consists of the remainders of the integers when divided by 6, which are 0, 1, 2, 3, 4, and 5.
So, the multiplication table for Z / 6 will look like:
x012345000000010123452024024303030340420425054321