SOLUTION: what is 2 to the 98th power divided by 5? All I need to know is the remainder in that problem.

Question 105265: what is 2 to the 98th power divided by 5?
All I need to know is the remainder in that problem.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
look at the powers of 2

2, 4, 8, 16, 32, 64, 128, 256, ...

see a pattern? ... the units digit repeats in a cycle of four 2 - 4 - 8 - 6

98 divided by 4 is 24 with a remainder of 2
... this means the units digit in 2^98 is the second in the cycle - 4

so, what's the remainder?
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