To divide 168 by 2 repeatedly until it reaches 1, we follow these steps:

1. \( 168 \div 2 = 84 \)
2. \( 84 \div 2 = 42 \)
3. \( 42 \div 2 = 21 \)
4. \( 21 \div 2 = 10.5 \) (We reach a non-integer)

Since we cannot get to exactly 1 by repeatedly dividing by 2, the final value after dividing repeatedly will be 10.5.

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Here are some related questions for further exploration:

1. What is the smallest power of 2 greater than 168?
2. How many times can you divide 256 by 2 until it gets to 1?
3. What is the binary representation of 168?
4. How does the result change if we start with a different even number?
5. Can you prove that a number divisible by 2 can be divided by 2 repeatedly until it reaches an odd number?
6. How many steps are required to reduce 512 to 1 by dividing by 2?
7. What is the mathematical significance of dividing by 2 repeatedly?
8. Can you explain how logarithms relate to repeatedly dividing a number by 2?

**Tip:** Understanding how to repeatedly divide by 2 can help in binary computations and understanding logarithmic scales.

Explore how to repeatedly divide 168 by 2 until it approaches 1. This problem covers basic division concepts, exponentiation, and binary number system insights. Suitable for Grades 4-6.

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