# Number Properties Puzzle – Challenge 16

Enjoy exercising your brain? Looking for great math puzzles? If so, then you are in the right place.

## 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

### The Absolute Best Book** to ****challenge your Smart Student!**

The correct answer is D.

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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