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Which of the following numbers are divis...

Which of the following numbers are divisible by 3?
165,651

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The correct Answer is:
To determine if the numbers 165 and 651 are 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: **Step 1: Check the number 165.** - Find the sum of the digits of 165. - The digits are: 1, 6, and 5. - Sum = 1 + 6 + 5 = 12. **Step 2: Check if the sum (12) is divisible by 3.** - Divide 12 by 3. - 12 ÷ 3 = 4, which is a whole number. - Since 12 is divisible by 3, we conclude that 165 is also divisible by 3. **Step 3: Check the number 651.** - Find the sum of the digits of 651. - The digits are: 6, 5, and 1. - Sum = 6 + 5 + 1 = 12. **Step 4: Check if the sum (12) is divisible by 3.** - Divide 12 by 3. - 12 ÷ 3 = 4, which is a whole number. - Since 12 is divisible by 3, we conclude that 651 is also divisible by 3. ### Conclusion: Both numbers, 165 and 651, are divisible by 3. ---
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