Question

Q. What is the reminder when $2^{35}$ is divided by 7

• A. 4
• B. 8
• C. 6
• D. 2
• E. 5

Answer 1

The correct option is A 4

$Rem\left(\frac{2^{35}}{7}\right)=Rem(\frac{(2^3{)}^{11}}{7}\times \frac{2^2}{7})=1^{11}\times 4=4$