Write all the factors of the following numbers :
36

Answer

To find all the factors of the number 36, we will follow these steps:

### Step 1: Understand what factors are
Factors of a number are the integers that can be multiplied together to produce that number. For example, if we have a number \( n \), then \( a \) is a factor of \( n \) if \( n \div a \) leaves a remainder of 0.

### Step 2: Start with 1
The first factor of any number is always 1. Since \( 36 \div 1 = 36 \), we can write:
- \( 1 \times 36 = 36 \)

### Step 3: Check for other factors
Next, we will check other integers starting from 2 up to the square root of 36 (which is 6) to see if they are factors:

- **For 2**: \( 36 \div 2 = 18 \) (so, \( 2 \) is a factor)
- Pair: \( 2 \times 18 = 36 \)

- **For 3**: \( 36 \div 3 = 12 \) (so, \( 3 \) is a factor)
- Pair: \( 3 \times 12 = 36 \)

- **For 4**: \( 36 \div 4 = 9 \) (so, \( 4 \) is a factor)
- Pair: \( 4 \times 9 = 36 \)

- **For 5**: \( 36 \div 5 = 7.2 \) (not a factor since it’s not an integer)

- **For 6**: \( 36 \div 6 = 6 \) (so, \( 6 \) is a factor)
- Pair: \( 6 \times 6 = 36 \)

### Step 4: List all factors
Now we can compile all the factors we found:
- From the pairs: \( 1, 36, 2, 18, 3, 12, 4, 9, 6 \)

### Step 5: Write the final list of factors
The complete list of factors of 36 is:
- **1, 2, 3, 4, 6, 9, 12, 18, 36**

### Final Answer
The factors of 36 are: **1, 2, 3, 4, 6, 9, 12, 18, 36**

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