= 2^2 \times 3^2

February 22, 2026

$= 2^2 \times 3^2$

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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:
The number of positive factors is:
The factors are: 1, 2, 3, 4, 6, 9, 12, 18, and 36.
So, there are 9 favorable outcomes.

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