Question

What is the remainder when $6^{50}$ is divided by 216?

• A. 1
• B. 36
• C. 5
• D. 214

Answer 1

Answer: (B)

36

$6^{50}=(6^3{)}^{16}\cdot 6^2$
$\Rightarrow {216}^{16}\cdot 6^2$
Hence when $6^{50}$ is divided by 216 then remainder is 36