To find all the factors of the number 8, we will follow these steps:
### Step 1: Understand the definition of a factor
A factor of a number is any whole number that can divide that number without leaving a remainder.
### Step 2: Start with the number 1
The number 1 is a factor of every integer. So, we will start by checking if 1 is a factor of 8.
- **1 divides 8**: Yes, because \(8 \div 1 = 8\) (with no remainder).
### Step 3: Check the next whole numbers
Next, we will check the whole numbers in ascending order to see if they are factors of 8.
- **Check 2**:
- \(8 \div 2 = 4\) (with no remainder).
- So, 2 is a factor of 8.
- **Check 3**:
- \(8 \div 3 = 2.67\) (not a whole number, so it has a remainder).
- So, 3 is not a factor of 8.
- **Check 4**:
- \(8 \div 4 = 2\) (with no remainder).
- So, 4 is a factor of 8.
- **Check 5**:
- \(8 \div 5 = 1.6\) (not a whole number, so it has a remainder).
- So, 5 is not a factor of 8.
- **Check 6**:
- \(8 \div 6 = 1.33\) (not a whole number, so it has a remainder).
- So, 6 is not a factor of 8.
- **Check 7**:
- \(8 \div 7 = 1.14\) (not a whole number, so it has a remainder).
- So, 7 is not a factor of 8.
- **Check 8**:
- \(8 \div 8 = 1\) (with no remainder).
- So, 8 is a factor of 8.
### Step 4: List all the factors
Now that we have checked all whole numbers up to 8, we can list all the factors we found:
- The factors of 8 are: **1, 2, 4, 8**.
### Final Answer
The factors of 8 are: **1, 2, 4, 8**.
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