What will be the remainder when 17^2020is divided by 8

 

17 is a prime number. Since 17 raised to the power of any number is the multiple of only the factors 17 and 1, we should check its divisibility by 17.

So, 17 divided by 8 gives us a remainder of 1. So the remainder for 17²⁰²⁰ divided by 8 will also be 1. You may check this for all numbers like 17², 17³, and so on. Divided by 8, they all give remainder 1.

[17²=289=(36*8)+1, 17³=4913=(614*8)+1]