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Home » "Top Outdoor Water Fountain You’ll Want in Your Garden—Discover the Secret Hit! - Aurero

"Top Outdoor Water Fountain You’ll Want in Your Garden—Discover the Secret Hit! - Aurero

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 + 12085 + 12087 + 12089 = (12083 + 12089) + (12085 + 12087) = 24172 + 24172 = 48344

📌 Now compute $ 48344 \mod 8 $. Since 1000 is divisible by 8, only the last three digits matter:

📌 \div 8 = 43 \text{ with remainder } 0

📌 Question: What is the sum of all positive divisors of $ 2^3 \cdot 3^2 $?

📌 Solution: The sum of the divisors of $ 2^3 \cdot 3^2 $ is given by:

📌 Thus, the sum of all positive divisors is $ \boxed{195} $.

📌 Question: What is the remainder when $ 7^5 + 7^6 $ is divided by 6?

📌 Solution: First, note that $ 7 \equiv 1 \mod 6 $, so $ 7^k \equiv 1^k = 1 \mod 6 $ for any positive integer $ k $.

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