Number Properties Puzzle – Challenge 16

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Challenge:

What digit appears in the units place in the number obtained when $$2^{136}$$ is multiplied out?

A- 0

B- 2

C- 4

D- 6

E- 8

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Try to find the pattern:
$$2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32, 2^6 = 64$$,
The pattern repeats every 4 numbers. Therefore, when $$2^{136}$$ is multiplied out, the unit digit is 6. Why?

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