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The number $2^{16} - 1$ is exactly divisible by which of these?

Competition practiceNumber System, HCF & LCM

A17
B7
C11
D13

Step-by-Step Solution

2^{16} - 1 = (2^{8} - 1) (2^{8} + 1) = 255 \times 257 = 3 \times 5 \times 17 \times 257

. Only 17 is in the list.

Answer: A) 17

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