Check the divisibility of 2146587 by 3.

Options

A. `12`
B. `13`
C. `14`
D. `11`

Explanation

To check the divisibility of the number 2146587 by 3, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the digits of the number**: The digits of the number 2146587 are 2, 1, 4, 6, 5, 8, and 7.

2. **Calculate the sum of the digits**:
- Add the digits together:
- \(2 + 1 = 3\)
- \(3 + 4 = 7\)
- \(7 + 6 = 13\)
- \(13 + 5 = 18\)
- \(18 + 8 = 26\)
- \(26 + 7 = 33\)

So, the sum of the digits is \(33\).

3. **Check if the sum is divisible by 3**:
- To check if \(33\) is divisible by \(3\), we can divide \(33\) by \(3\):
- \(33 \div 3 = 11\) with a remainder of \(0\).
- Since there is no remainder, \(33\) is divisible by \(3\).

4. **Conclusion**: Since the sum of the digits \(33\) is divisible by \(3\), we can conclude that the original number \(2146587\) is also divisible by \(3\).

### Final Answer:
The number \(2146587\) is divisible by \(3\).

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