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Find the remainder when 281 is divided by 17? |
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Answer» 281 ≡ x(mod 17) 240 x 240 x 21 ≡ x(mod 17) (24)10 x (24)10 x 21 ≡ x(mod 17) (16)10 x (16)10 x 21 ≡ x(mod 17) (162)5 x (162)5 x 21 ≡ x(mod 17) = 1 x 1 x 2 (mod 17) [(16)2 = 256 = 1 (mod 17)] = 2 (mod 17) 281 = 2(mod 17) ∴ x = 2 The remainder is 2 |
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