Which of the folllowing numbers is divisible by 3 ?

Options

A. 24357806
B. 35769812
C. 83479560
D. 3336433

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.

### Step-by-Step Solution:

1. **Identify the options**: The given numbers are:
- Option 1: 24357806
- Option 2: 35769812
- Option 3: 83479560
- Option 4: 3336433

2. **Calculate the sum of digits for each option**:

- **Option 1: 24357806**
- Sum of digits: 2 + 4 + 3 + 5 + 7 + 8 + 0 + 6 = 35
- Check if 35 is divisible by 3: 35 ÷ 3 = 11 remainder 2 (not divisible)

- **Option 2: 35769812**
- Sum of digits: 3 + 5 + 7 + 6 + 9 + 8 + 1 + 2 = 41
- Check if 41 is divisible by 3: 41 ÷ 3 = 13 remainder 2 (not divisible)

- **Option 3: 83479560**
- Sum of digits: 8 + 3 + 4 + 7 + 9 + 5 + 6 + 0 = 42
- Check if 42 is divisible by 3: 42 ÷ 3 = 14 (divisible)

- **Option 4: 3336433**
- Sum of digits: 3 + 3 + 3 + 6 + 4 + 3 + 3 = 25
- Check if 25 is divisible by 3: 25 ÷ 3 = 8 remainder 1 (not divisible)

3. **Conclusion**: The only number that is divisible by 3 is **Option 3: 83479560**.