Which of the following numbers is divisible by 3?

Options

A. 97632
B. 88844
C. 98765
D. All of these

Answer

To determine which of the following numbers is divisible by 3, we will use the divisibility rule for 3. According to this rule, a number is divisible by 3 if the sum of its digits is divisible by 3. Let's analyze the numbers step by step.

### Step 1: Analyze the first number (97632)
- **Digits**: 9, 7, 6, 3, 2
- **Sum of digits**:
\[ 9 + 7 + 6 + 3 + 2 = 27 \]
- **Check divisibility**:
- Since \(27 \div 3 = 9\), which is an integer, \(27\) is divisible by \(3\).
- **Conclusion**: Therefore, \(97632\) is divisible by \(3\).

### Step 2: Analyze the second number (88844)
- **Digits**: 8, 8, 8, 4, 4
- **Sum of digits**:
\[ 8 + 8 + 8 + 4 + 4 = 32 \]
- **Check divisibility**:
- Since \(32 \div 3\) does not yield an integer (it equals approximately \(10.67\)), \(32\) is not divisible by \(3\).
- **Conclusion**: Therefore, \(88844\) is not divisible by \(3\).

### Step 3: Final conclusion
Since we have already determined that \(97632\) is divisible by \(3\) and \(88844\) is not, we can conclude that the only number from the options provided that is divisible by \(3\) is:

**Answer**: \(97632\)

---