Multiple choice

What is the remainder of 2^60 divided by 10?

  1. 6

  2. 7

  3. 10

  4. 9
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A Correct answer
Explanation

2^1 = 2, 2 ^ 2 = 4, 2 ^ 3 = 8, 2 ^ 4 = 16, 2 ^ 5 = 32, 2 ^ 6 = 64…  We can find out that the units digit of 2^n is the same as the units digit of 2^ (n + 4) So the units digit of 2^60 would be the same as the units digit of 2^4, which is 6. Hence, the remainder of 2^60 divided by 10 will be 6.

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