Question

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

• A. 9
• B. 1
• C. 3
• D. 7

Answer 1

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).