The Last Digit
Level
1
What is the last digit of this Number?
2^{5028}
The answer is 6.
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To get the answer,I noticed a pattern.
2^{1}=2
2^{2}=4
2^{3}=8
2^{4}=16
2^{5}=32
2^{6}=64
2^{7}=128
2^{8}=256
Notice that the last digits of the answers are in a pattern of 2,4,8,6.
Since there are 4 terms in the sequence,we divide 4 to 5028
5028/4=1257
Since there is no remainder the last digit is the 4th term which is 6