Question

What is the largest power of 2 that divides $2^{500}+{10}^{501}$?

• A. 2⁵⁰¹
• B. 2⁵⁰⁰
• C. 2⁴⁹⁹
• D. 2⁵⁰²

Answer 1

The correct option is B 2⁵⁰⁰

$2^{500}\left(\underset{Odd}{\underset{}{1+2\times 5^{501}}}\right)$. Hence, $2^{500}$ is the answer.