What will be the sum of prime numbers in the following numbers?
17, 8, 21, 13, 41, 2, 27, 31, 51

Options

A. 104
B. 102
C. 155
D. 125

Answer

To find the sum of prime numbers from the given list of numbers (17, 8, 21, 13, 41, 2, 27, 31, 51), we will follow these steps:

### Step 1: Identify the prime numbers in the list.
- A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

### Step 2: Check each number in the list.
1. **17**: The factors are 1 and 17. (Prime)
2. **8**: The factors are 1, 2, 4, and 8. (Not Prime)
3. **21**: The factors are 1, 3, 7, and 21. (Not Prime)
4. **13**: The factors are 1 and 13. (Prime)
5. **41**: The factors are 1 and 41. (Prime)
6. **2**: The factors are 1 and 2. (Prime)
7. **27**: The factors are 1, 3, 9, and 27. (Not Prime)
8. **31**: The factors are 1 and 31. (Prime)
9. **51**: The factors are 1, 3, 17, and 51. (Not Prime)

### Step 3: List the identified prime numbers.
From the checks above, the prime numbers are:
- 17
- 13
- 41
- 2
- 31

### Step 4: Calculate the sum of the prime numbers.
Now we will add the prime numbers together:
- \( 17 + 13 + 41 + 2 + 31 \)

### Step 5: Perform the addition step by step.
1. \( 17 + 13 = 30 \)
2. \( 30 + 41 = 71 \)
3. \( 71 + 2 = 73 \)
4. \( 73 + 31 = 104 \)

### Final Result:
The sum of the prime numbers is **104**.

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