When $2^{256}$ is divided by 17, the remainder would be:

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None of these

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Solution

The correct option is A 1
$\frac{2^{256}}{17} = \frac{(2^{4})^{64}}{17} = \frac{(16)^{64}}{17} = \frac{(17 - 1)^{64}}{17} = (- 1)^{64} = 1$

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