Which one is divisible by 15

Options

A. 39825
B. 575450
C. 57235
D. 614255

Answer

To determine which number is divisible by 15, we need to check the divisibility rules for both 3 and 5, since a number must be divisible by both to be divisible by 15.

### Step-by-Step Solution:

1. **Identify the Options**: The options given are:
- Option 1: 39,825
- Option 2: 57,540
- Option 3: 57,235
- Option 4: 61,425

2. **Check Divisibility by 3**:
- The rule for divisibility by 3 states that the sum of the digits of the number must be divisible by 3.
- **Option 1**:
- Sum of digits = 3 + 9 + 8 + 2 + 5 = 27
- 27 is divisible by 3.
- **Option 2**:
- Sum of digits = 5 + 7 + 5 + 4 + 0 = 21
- 21 is divisible by 3.
- **Option 3**:
- Sum of digits = 5 + 7 + 2 + 3 + 5 = 22
- 22 is not divisible by 3.
- **Option 4**:
- Sum of digits = 6 + 1 + 4 + 2 + 5 = 18
- 18 is divisible by 3.

3. **Check Divisibility by 5**:
- The rule for divisibility by 5 states that the last digit (unit place) must be either 0 or 5.
- **Option 1**:
- Last digit is 5 (divisible by 5).
- **Option 2**:
- Last digit is 0 (divisible by 5).
- **Option 3**:
- Last digit is 5 (divisible by 5).
- **Option 4**:
- Last digit is 5 (divisible by 5).

4. **Conclusion**:
- Now we check which options are divisible by both 3 and 5:
- **Option 1 (39,825)**: Divisible by 3 and 5 → Divisible by 15.
- **Option 2 (57,540)**: Divisible by 3 and 5 → Divisible by 15.
- **Option 3 (57,235)**: Not divisible by 3 → Not divisible by 15.
- **Option 4 (61,425)**: Divisible by 3 and 5 → Divisible by 15.

Thus, the numbers that are divisible by 15 are **Option 1 (39,825)**, **Option 2 (57,540)**, and **Option 4 (61,425)**.