Which of the following numbers is divisible by 6?

Options

A. 3 49,722
B. 100246
C. 43408
D. 43 923

Answer

To determine which of the following numbers is divisible by 6, we need to check two conditions: divisibility by 2 and divisibility by 3.

### Step-by-Step Solution:

1. **Identify the Numbers**: Let's assume we have the following numbers to check: 493722, 100246, 434084, and 493408.

2. **Check Divisibility by 2**:
- A number is divisible by 2 if its last digit is even (i.e., 0, 2, 4, 6, or 8).
- For 493722, the last digit is 2 (even) → Divisible by 2.
- For 100246, the last digit is 6 (even) → Divisible by 2.
- For 434084, the last digit is 4 (even) → Divisible by 2.
- For 493408, the last digit is 8 (even) → Divisible by 2.

3. **Check Divisibility by 3**:
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- For 493722:
- Sum = 4 + 9 + 3 + 7 + 2 + 2 = 27 → 27 is divisible by 3.
- For 100246:
- Sum = 1 + 0 + 0 + 2 + 4 + 6 = 13 → 13 is not divisible by 3.
- For 434084:
- Sum = 4 + 3 + 4 + 0 + 8 + 4 = 23 → 23 is not divisible by 3.
- For 493408:
- Sum = 4 + 9 + 3 + 4 + 0 + 8 = 28 → 28 is not divisible by 3.

4. **Conclusion**:
- The only number that is divisible by both 2 and 3 is 493722. Therefore, it is the only number that is divisible by 6.

### Final Answer:
The number that is divisible by 6 is **493722**.