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What is the remainder when 6^3 is divided by 8

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5 solutions

LaTex: 6 3 = 216 a n d 216 ÷ 8 = 27 , H e n c e N o r e m a i n d e r \large 6^3 = 216\ and\ 216 ÷ 8 = 27,Hence\ No\ remainder

. .
Apr 2, 2021

Since 6 6 is even, then 6 3 6 ^ { 3 } must be also even.

Then even m o d even \text { even } \mod \text { even } is always even.

Only zero is even of the choices, so the answer is ZERO!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! \boxed { \text { ZERO!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! } }

6^3=2^3*3^3 . 8=2^3 . 6^3/8 =3^3 .

Shravan Kumar
Aug 23, 2015

6^/8=(6^3)/(2^3)= (6/2)^3= 6%2=0

Vaibhav Prasad
Mar 17, 2015

6x6x6 = 216

216/8 = 27

Hence remainder = 0

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