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Which of the following numbers are divis...

Which of the following numbers are divisible by 3?
453,052

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To determine whether the number 453052 is divisible by 3, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Rule for Divisibility by 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 453052 are 4, 5, 3, 0, 5, and 2. 3. **Calculate the Sum of the Digits**: We will add the digits together: - \(4 + 5 = 9\) - \(9 + 3 = 12\) - \(12 + 0 = 12\) - \(12 + 5 = 17\) - \(17 + 2 = 19\) Therefore, the sum of the digits is \(19\). 4. **Check if the Sum is Divisible by 3**: Now, we need to check if \(19\) is divisible by \(3\). - When we divide \(19\) by \(3\), we get \(19 \div 3 = 6\) remainder \(1\). - Since there is a remainder, \(19\) is not divisible by \(3\). 5. **Conclusion**: Since the sum of the digits \(19\) is not divisible by \(3\), we conclude that the number \(453052\) is not divisible by \(3\). ### Final Answer: The number 453052 is **not divisible by 3**. ---
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