What is the largest power of 2 that divides 2 500 + 10 501 ? Options: A . &nbsp 2 501 B . &nbsp 2 500 C . &nbsp 2 499 D . &nbsp 2 502

Answer: Option B : B 2 500 ( 1 + 2 × 5 501      O d d ) . Hence, 2 500 is the answer.

What is the largest power of 2 that divides 2500+10501?

Question

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

Options:

A .

2^{501}

B .

2^{500}

C .

2^{499}

D .

2^{502}

Answer: Option B
:
B

$2^{500} (1 + 2 \times 5^{501}      O d d)$ . Hence, $2^{500}$ is the answer.

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