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Grade: 12

                        

WHAT IS THE REMAINDER WHEN 4^96 IS DIVIDED BY 6?

6 years ago

Answers : (1)

Pallavi Das
17 Points
							According to euclid`s algorithm 
  a=bq+r
Let a=16 (4^2) and b=6
then 16=6*2+4
Let a=64 (4^3) and b=6
then 64=6*10+4
Let a=256 (4^4) and b=6
then 256=6*42+4

If we continue in this manner, we find that the remainder for any power of 4 when divided by 6 will be 4 only.
Hence the remainder for 4^96 when divided by 6 will be 4.
						
6 years ago
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