Which one is perfect No ?

Options

A. 2
B. 4
C. 6
D. 8

Answer

To determine which of the given numbers (2, 4, 6, 8) is a perfect number, we will follow these steps:

### Step 1: Understand what a perfect number is
A perfect number is defined as a number that is equal to the sum of its proper divisors (factors), excluding itself.

### Step 2: Identify the factors of each number
- **Factors of 2**: 1, 2
- **Factors of 4**: 1, 2, 4
- **Factors of 6**: 1, 2, 3, 6
- **Factors of 8**: 1, 2, 4, 8

### Step 3: Calculate the sum of the proper divisors for each number
- **For 2**: Proper divisors are 1.
Sum = 1
(Not equal to 2)

- **For 4**: Proper divisors are 1 and 2.
Sum = 1 + 2 = 3
(Not equal to 4)

- **For 6**: Proper divisors are 1, 2, and 3.
Sum = 1 + 2 + 3 = 6
(Equal to 6, so 6 is a perfect number)

- **For 8**: Proper divisors are 1, 2, and 4.
Sum = 1 + 2 + 4 = 7
(Not equal to 8)

### Step 4: Conclusion
Among the numbers 2, 4, 6, and 8, only **6** is a perfect number.

### Final Answer
The perfect number from the given options is **6**.

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