Question

$4^{61} + 4^{62} + 4^{63} + 4^{64}$ is divisible by

• A. 3
• B. 11
• C. 13
• D. 17

Answer 1

Answer:

D. 17

4^61 (1 + 4 + 4^2 + 4^3) ⇒ 4^61 (1 + 4 + 16 + 64) ⇒ 4^61 (85) Clearly 85 is divisible by 17