Find the set of factors of 256.

Answer

To find the set of factors of 256, we will follow these steps:

### Step 1: Start with the number 256
We need to find all the numbers that can divide 256 without leaving a remainder.

### Step 2: Divide 256 by 1
- 256 ÷ 1 = 256
- Since 1 divides 256, 1 is a factor.

### Step 3: Divide 256 by 2
- 256 ÷ 2 = 128
- Since 2 divides 256, 2 is a factor.

### Step 4: Divide 256 by 4
- 256 ÷ 4 = 64
- Since 4 divides 256, 4 is a factor.

### Step 5: Divide 256 by 8
- 256 ÷ 8 = 32
- Since 8 divides 256, 8 is a factor.

### Step 6: Divide 256 by 16
- 256 ÷ 16 = 16
- Since 16 divides 256, 16 is a factor.

### Step 7: Divide 256 by 32
- 256 ÷ 32 = 8
- Since 32 divides 256, 32 is a factor.

### Step 8: Divide 256 by 64
- 256 ÷ 64 = 4
- Since 64 divides 256, 64 is a factor.

### Step 9: Divide 256 by 128
- 256 ÷ 128 = 2
- Since 128 divides 256, 128 is a factor.

### Step 10: Divide 256 by 256
- 256 ÷ 256 = 1
- Since 256 divides itself, 256 is a factor.

### Step 11: Compile the factors
The factors of 256 are:
1, 2, 4, 8, 16, 32, 64, 128, and 256.

### Final Answer
The set of factors of 256 is {1, 2, 4, 8, 16, 32, 64, 128, 256}.

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