To determine which of the given numbers are divisible by 11, we will apply the divisibility rule for 11. The rule states that a number is divisible by 11 if the difference between the sum of the digits in the odd positions and the sum of the digits in the even positions is either 0 or a multiple of 11.
Let's break down the solution step by step for each number.
### Step 1: Analyze the first number (5573243)
1. **Identify the positions of the digits:**
- Starting from the right, we have:
- Position 1: 3
- Position 2: 4
- Position 3: 2
- Position 4: 7
- Position 5: 3
- Position 6: 5
2. **Sum of digits at even positions:**
- Even positions (2, 4, 6): 4 (Position 2) + 7 (Position 4) + 5 (Position 6) = 16
3. **Sum of digits at odd positions:**
- Odd positions (1, 3, 5): 3 (Position 1) + 2 (Position 3) + 3 (Position 5) = 8
4. **Calculate the difference:**
- Difference = Sum of odd positions - Sum of even positions = 8 - 16 = -8
5. **Check divisibility:**
- Since -8 is neither 0 nor a multiple of 11, **5573243 is not divisible by 11**.
### Step 2: Analyze the second number (5869217)
1. **Identify the positions of the digits:**
- Starting from the right, we have:
- Position 1: 7
- Position 2: 1
- Position 3: 2
- Position 4: 9
- Position 5: 6
- Position 6: 8
- Position 7: 5
2. **Sum of digits at even positions:**
- Even positions (2, 4, 6): 1 (Position 2) + 9 (Position 4) + 8 (Position 6) = 18
3. **Sum of digits at odd positions:**
- Odd positions (1, 3, 5, 7): 7 (Position 1) + 2 (Position 3) + 6 (Position 5) + 5 (Position 7) = 20
4. **Calculate the difference:**
- Difference = 20 - 18 = 2
5. **Check divisibility:**
- Since 2 is neither 0 nor a multiple of 11, **5869217 is not divisible by 11**.
### Step 3: Analyze the third number (80503145052)
1. **Identify the positions of the digits:**
- Starting from the right, we have:
- Position 1: 2
- Position 2: 5
- Position 3: 0
- Position 4: 4
- Position 5: 1
- Position 6: 3
- Position 7: 0
- Position 8: 5
- Position 9: 0
- Position 10: 8
2. **Sum of digits at even positions:**
- Even positions (2, 4, 6, 8, 10): 5 (Position 2) + 4 (Position 4) + 3 (Position 6) + 5 (Position 8) + 8 (Position 10) = 25
3. **Sum of digits at odd positions:**
- Odd positions (1, 3, 5, 7, 9): 2 (Position 1) + 0 (Position 3) + 1 (Position 5) + 0 (Position 7) + 0 (Position 9) = 3
4. **Calculate the difference:**
- Difference = 25 - 3 = 22
5. **Check divisibility:**
- Since 22 is a multiple of 11, **80503145052 is divisible by 11**.
### Final Results:
- **5573243**: Not divisible by 11
- **5869217**: Not divisible by 11
- **80503145052**: Divisible by 11
