Which of the following numbers are divisible by 3?
4132

Answer

To determine whether the number 4132 is divisible by 3, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Divisibility Rule for 3**: A number is divisible by 3 if the sum of its digits is divisible by 3.

2. **Identify the Digits of the Number**: The digits of the number 4132 are 4, 1, 3, and 2.

3. **Sum the Digits**:
- Calculate the sum:
- 4 + 1 = 5
- 5 + 3 = 8
- 8 + 2 = 10
- Therefore, the sum of the digits is 10.

4. **Check if the Sum is Divisible by 3**:
- Now, we need to check if 10 is divisible by 3.
- When we divide 10 by 3, we get 10 ÷ 3 = 3 with a remainder of 1.
- Since there is a remainder, 10 is not divisible by 3.

5. **Conclusion**: Since the sum of the digits (10) is not divisible by 3, we conclude that the number 4132 is not divisible by 3.

### Final Answer:
4132 is not divisible by 3.

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