Number Properties Puzzle – Challenge 16

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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