Remainder Rules
Number Theory
Level
pending
What is the remainder when is divided by 1001?
The answer is 971.
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1 solution
3^1001/1001 is same as [(3^10)^100]*3^1/1001
= (10^100)*3/1001
=[(10^3)^33]*30/1001
= [(-1)^33]*30/1001
= -30/1001
=971
And it's done