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What is the sum of the divisors of 60 ?...

What is the sum of the divisors of 60 ?

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To find the sum of the divisors of 60, we can follow these steps: ### Step 1: Identify the divisors of 60 First, we need to find all the numbers that can divide 60 without leaving a remainder. The divisors of 60 are: - 1 (60 ÷ 1 = 60) - 2 (60 ÷ 2 = 30) - 3 (60 ÷ 3 = 20) - 4 (60 ÷ 4 = 15) - 5 (60 ÷ 5 = 12) - 6 (60 ÷ 6 = 10) - 10 (60 ÷ 10 = 6) - 12 (60 ÷ 12 = 5) - 15 (60 ÷ 15 = 4) - 20 (60 ÷ 20 = 3) - 30 (60 ÷ 30 = 2) - 60 (60 ÷ 60 = 1) So the complete list of divisors is: **1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60**. ### Step 2: Sum the divisors Next, we add all the divisors together: - 1 + 2 + 3 + 4 + 5 + 6 + 10 + 12 + 15 + 20 + 30 + 60 Calculating this step by step: 1. \(1 + 2 = 3\) 2. \(3 + 3 = 6\) 3. \(6 + 4 = 10\) 4. \(10 + 5 = 15\) 5. \(15 + 6 = 21\) 6. \(21 + 10 = 31\) 7. \(31 + 12 = 43\) 8. \(43 + 15 = 58\) 9. \(58 + 20 = 78\) 10. \(78 + 30 = 108\) 11. \(108 + 60 = 168\) Thus, the sum of the divisors of 60 is **168**. ### Final Answer: The sum of the divisors of 60 is **168**. ---
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