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What is the unit's digit of the number 22 to the power of 23?

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i.e It is the rightmost digit of the number. For example, the units digit of 243 is 3, the units digit of 39 is 9. But then what is the units digit of large numbers like 23 to the power 46 or what is the units digit of 2014 to the power of 2014? Here, it is not straight forward to calculate the units digit of these numbers. read more

Now we have two methods to solve this but we choose the best way to solve it i.e. through cyclicity We know the cyclicity of 4 is 2 Have a look: 4 1 =4 4 2 =16 4 3 =64 4 4 =256. From above it is clear that the cyclicity of 4 is 2. read more

This follows the pattern! So, if we write this pattern out we can find the units digit for the 13th number in this series (13^13): 3 9 7 1 3 9 7 1 3 9 7 1 3 . That final 3 is the 13th number, so it is the units digit of 13^13. read more

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