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Home » Solution: Total number of 4-protein combinations from 6 proteins: $ \binom64 = 15 $ - AMAZONAWS

Solution: Total number of 4-protein combinations from 6 proteins: $ \binom64 = 15 $ - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 First, we factor 2023 to find its divisors. Checking small prime numbers:

📌 2023 is odd, so not divisible by 2.

📌 Sum of digits of 2023 is \(2+0+2+3 = 7\), not divisible by 3.

📌 2023 does not end in 0 or 5, so not divisible by 5.

📌 Check divisibility by 7: \(2023 \div 7 \approx 289.0\), and \(7 \times 289 = 2023\), so 2023 is divisible by 7.

📌 Now, factor 289:

📌 \(\sqrt{289} = 17\), and \(17 \times 17 = 289\).

📌 Thus, \(2023 = 7 \times 17^2\).

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