Question

find the remainder when 3^{60} is divided by 242 using remainder theory

Answer 1

sorry bro i dont know

Answer 2

Answer:

1

Step-by-step explanation:

Given that, Dividend=3^60

Divided By 242.

find the remainder of 3^60/242 by the below remainder theorem.

Find the value of all power of 3 as follow as choose the nearest value of power of 3 to the deviser.

3^1 = 3, 3^2 = 9, . . . . . . . . 3^5 = 243 , 3^6 = 729 . . . . . . .

3^60 / 242 = (3^5)^12/242 = 1^12/242

hence the remainder is 1.