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Friday, 8 February 2013

Remainder Problem

Find the Remainder when the number $N$ is divided by 7, where

WE can use:

ReplyDelete$$ 2^6 \equiv 1(mod) 7 $$

$$ 5^3 \equiv -1(mod) 7 $$

$$ 1111 \equiv -2(mod) 7 $$

Finally use, If

ReplyDelete$$ A \equiv r_1(mod)p $$ and

$$ B \equiv r_2(mod)p $$ then

$$ AB \equiv r_1r_2 (mod)p $$