Which of the following numbers are divisible by 3?
97,621

Answer

To determine whether the number 97,621 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 digits of the number**:
The number is 97,621. The digits are 9, 7, 6, 2, and 1.

2. **Calculate the sum of the digits**:
We will add the digits together:
\[ 9 + 7 + 6 + 2 + 1 \]

3. **Perform the addition**:
- First, add 9 and 7:
\[ 9 + 7 = 16 \]
- Next, add 6:
\[ 16 + 6 = 22 \]
- Then, add 2:
\[ 22 + 2 = 24 \]
- Finally, add 1:
\[ 24 + 1 = 25 \]

4. **Check if the sum is divisible by 3**:
Now we need to check if 25 is divisible by 3. We can do this by dividing 25 by 3:
\[ 25 \div 3 = 8 \quad \text{(remainder 1)} \]
Since there is a remainder, 25 is not divisible by 3.

5. **Conclusion**:
Since the sum of the digits (25) is not divisible by 3, we conclude that the number 97,621 is not divisible by 3.

### Final Answer:
97,621 is **not divisible by 3**.