To find all the factors of 16, we will follow these steps:
### Step-by-Step Solution:
1. **Understand the Definition of Factors**: A factor of a number is an integer that can be multiplied by another integer to produce that number. In other words, if a number \( a \) can be divided by \( b \) without leaving a remainder, then \( b \) is a factor of \( a \).
2. **Start with the Number 1**: The first factor of any number is always 1 because any number is divisible by 1.
- **Factor Found**: 1
3. **Check for Divisibility by 2**: Next, check if 16 is divisible by 2. Since \( 16 \div 2 = 8 \) (which is a whole number), 2 is a factor.
- **Factor Found**: 2
4. **Check for Divisibility by 3**: Now check if 16 is divisible by 3. Since \( 16 \div 3 \) does not result in a whole number, 3 is not a factor.
- **No Factor Found**: 3
5. **Check for Divisibility by 4**: Next, check if 16 is divisible by 4. Since \( 16 \div 4 = 4 \), 4 is a factor.
- **Factor Found**: 4
6. **Check for Divisibility by 5**: Check if 16 is divisible by 5. Since \( 16 \div 5 \) does not result in a whole number, 5 is not a factor.
- **No Factor Found**: 5
7. **Check for Divisibility by 6**: Check if 16 is divisible by 6. Since \( 16 \div 6 \) does not result in a whole number, 6 is not a factor.
- **No Factor Found**: 6
8. **Check for Divisibility by 7**: Check if 16 is divisible by 7. Since \( 16 \div 7 \) does not result in a whole number, 7 is not a factor.
- **No Factor Found**: 7
9. **Check for Divisibility by 8**: Check if 16 is divisible by 8. Since \( 16 \div 8 = 2 \), 8 is a factor.
- **Factor Found**: 8
10. **Finally, Check the Number Itself**: The last factor is the number itself, which is 16. Since \( 16 \div 16 = 1 \), 16 is a factor.
- **Factor Found**: 16
11. **List All Factors**: Now, we can list all the factors we found: 1, 2, 4, 8, and 16.
### Final Answer:
The factors of 16 are: **1, 2, 4, 8, 16**.
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