Write the greatest factor of the following numbers (except for the number itself)
64

Answer

To find the greatest factor of the number 64, except for the number itself, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Number**: We are given the number 64.

2. **Find the Factors of 64**: A factor is a number that divides another number completely without leaving a remainder. We will find all the factors of 64 by checking which numbers can divide 64 evenly.

3. **List the Factors**:
- Start with 1: \(64 \div 1 = 64\) (1 is a factor)
- Next, check 2: \(64 \div 2 = 32\) (2 is a factor)
- Check 4: \(64 \div 4 = 16\) (4 is a factor)
- Check 8: \(64 \div 8 = 8\) (8 is a factor)
- Check 16: \(64 \div 16 = 4\) (16 is a factor)
- Check 32: \(64 \div 32 = 2\) (32 is a factor)
- Finally, check 64: \(64 \div 64 = 1\) (64 is a factor but we will exclude it)

4. **List of Factors**: The complete list of factors of 64 is: 1, 2, 4, 8, 16, 32, and 64.

5. **Exclude the Number Itself**: Since the question asks for the greatest factor except for the number itself (64), we will exclude 64 from our list.

6. **Identify the Greatest Factor**: The greatest factor from the remaining factors (1, 2, 4, 8, 16, 32) is 32.

### Final Answer:
The greatest factor of 64, except for the number itself, is **32**.

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