Question

Find the remainder when 7^232 is divided by 6?

Answer 1

7²³² ÷ 6

= 7²³² ÷ (7-1)

Remainder theorm:

If f(x) ÷ (x-a) then remainder is f(a)

here 7 can be treated as x and a=1, then

x²³² ÷ (x-1), remainder = f(1) = 1²³² = 1