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Home » Youll Lose Your Mind Trying This Free Online Game—Start Playing Now! - Deep Underground Poetry

Youll Lose Your Mind Trying This Free Online Game—Start Playing Now! - Deep Underground Poetry

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Question:** A virologist is studying viral loads and notes that a particular parameter \( v \) is a positive integer less than or equal to 30. If the probability that \( v \) is a factor of 360 is to be calculated, what is this probability?

📌 First, we determine the number of positive integers \( v \) that are factors of 360 and are less than or equal to 30. Begin by finding the prime factorization of 360:

📌 = 2^3 \times 3^2 \times 5^1

📌 The total number of positive divisors of 360 is:

📌 Now, list the divisors of 360 that are less than or equal to 30:

📌 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30

📌 Count these divisors: there are 15 such divisors.

📌 Since \( v \) is a positive integer \(\leq 30\), there are 30 possible choices for \( v \). Therefore, the probability that \( v \) is a factor of 360 is:

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