SOLUTION: What is the remainder if 2^2011 is divided by 5?
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Question 549463
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What is the remainder if 2^2011 is divided by 5?
Answer by
Alan3354(69443)
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The last digit of 2^n is cyclic
n d
0 1
1 2
2 4
3 8
4 6
5 2
6 4
7 8
8 6
9 2
etc
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2011 = 4 --> Remainder 3
2^3 = 8
8/5 --> remainder 3
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It's 3