Question

What is the last digit of $8^{1026}$?

• A. 8
• B. 4
• C. 2
• D. 6

Answer 1

The correct option is B 4

The last digit of powers of '8' always repeat in a cycle of 8, 4, 2, 6.
The power 1026 is divided by 4. We get quotient = 256 and remainder = 2.
The pattern will repeat 256 times plus 2 more times.
The second digit in the sequence is 4.
$\therefore$ The last digit of $8^{1026}$ is 4.