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What are the possible remainders when the 100^{th} power of an integer is divided by 125? To reduce the number of cases to be checked, express the number as 5p+q where p and q are integers and q=1,2,3,4 and find the hundredth power using the Binomial Theorem.
Remainder Hunt
Age 16 to 18
Challenge Level 
What are the possible remainders when the 100^{th} power of an integer is divided by 125? To reduce the number of cases to be checked, express the number as 5p+q where p and q are integers and q=1,2,3,4 and find the hundredth power using the Binomial Theorem.
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