SOLUTION: 1) What is the remainder when 2^31 is divided by 10? 2) What is the remainder when 2^69 is divided by 5?

Question 973893: 1) What is the remainder when 2^31 is divided by 10?
2) What is the remainder when 2^69 is divided by 5?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2 raised to a power goes 2,4,8,6
to the 9th power 512, then 1024, then 2048, 4096.
Divide the exponent by 4 and see what is left over
2^31 is 2^28 (which ends in 6). The next three end in 2,4,and 8. The remainder will be 8.
2^69 will have 17 repeats of the pattern and will end in 2 for 2^69. The remainder will be 2, when divided by 5.
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