Question

Write the multiplication table for the set of integers modulo 5.

Answer 1

Here,

1 × ₅ 1  = Remainder obtained by dividing 1 × 1 by 5 

3 × ₅ 4  =  Remainder obtained by dividing 3 × 4 by 5

4 × ₅ 4  = Remainder obtained by dividing 4 × 4 by 5 = 1 

So, the composition table is as follows:

×5	0	1	2	3	4
0	0	0	0	0	0
1	0	1	2	3	4
2	0	2	4	1	3
3	0	3	1	4	2
4	0	4	3	2	1