Question

The last digit of the number 8^26 is​

Answer 1

Answer:

Well, you can solve this using theory of congruence too, but i will prefer the easier method, it’s quite trivial to note that the last digit of powers of 8 get repeated at regular intervals.

notice last digit in each case:-

8^1 = 8

8^2 = 64

8^3 = …2

8^4 = ..6 (when power mod 4 = 0)

8^5 = …8 (when power mod 4 = 1)

8^6 =…4 (when power mod 4 = 2)

8^7 = …2 (when power mod 4 = 3)

8^8 = ….6 (when power mod 4 = 0)

and so on.. so the last digits gets repeated at regular intervals of 4.

divide 2016 by 4, you will get a remainder 0, so last digit will be 6.