If $3^{2017}$ is divided by 10, then the remainder is

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Solution

The correct option is C 3
The remainder when $3^{4}$ divided by 10 is 1.

Cosider: $(3)^{2016} = (34)^{504}$

So, the remainder when $3^{2016}$ is divided by 10 is also 1.

As, $(3)^{2017} = 3^{2016 + 1} = (3)^{2016} \times 3$
Therefore, the remainder when $3^{2017}$ is divided by 10 is 3.

Hence, the correct answer is option (3).

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