If 32019 is divided by 10, then what is the remainder?
1
3
7
9
3^1 = 3 3^2 = 9 3^3 = 27 3^4 = 81 3^5 = 243 3^6 = 729 The unit place repeats after every 4 steps. Now, when 2019 is divided by 4, the remainder is 3. Therefore, the unit place of 3^2019 will be the same as that of 3^3, which is 7. Hence, when 32019 is divided by 10, the remainder will be 7.
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