Mod8

Number Theory Level 2

Evaluate:

963 × 759 963 \times 759 (Mod8)


The answer is 5.

Victor Paes Plinio by Victor Paes Plinio , 21, Brazil

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2 solutions

The solution is easy. 963 in mod8 is 3. 759 in mod8 is 7 and 7x3=21. 21 in mod8 is 5.

ANSWER: 5

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clearly write the explanation please.

bhanu priya - 7 years, 1 month ago

what is mod8 explain it

deepak tripathi - 7 years, 1 month ago

(mod x) means the remainder when a specific number is divided by x.

Vighnesh Raut - 7 years ago
William Isoroku
Jan 14, 2015

963 m o d 8 = 3 963\quad mod\quad 8=3

759 m o d 8 = 7 759\quad mod\quad 8=7

Therefore, ( 963 ⋅ 759 ) m o d 8 ≡ 3 ⋅ 7 ≡ 5 ( m o d 8 ) (963\cdot 759)\quad mod\quad 8\equiv 3\cdot 7\equiv 5\quad (mod\quad 8) . So the remainder is 5 \boxed{5}

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