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Home » We want $ a_k \leq 100 $, so: - Veritas Home Health

We want $ a_k \leq 100 $, so: - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 First, find the prime factorization of 84:

📌 = 2 \times 42 = 2 \times 2 \times 21 = 2^2 \times 3 \times 7

📌 The distinct prime factors are \(2\), \(3\), and \(7\).

📌 + 3 + 7 = 12

📌 Thus, the sum of the distinct prime factors is \(\boxed{12}\).

📌 Question:** An archaeologist finds two stone tablets with inscriptions totaling 36 symbols. What is the probability that a randomly selected symbol count \( n \) (from 1 to 36, inclusive) is a factor of 36?

📌 First, determine the total number of possible symbol counts: from 1 to 36, so there are 36 possible values.

📌 Next, find how many positive integers \( n \) in this range are factors of 36. Begin with the prime factorization:

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