Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.
Classify a number as prime or composite
Problem
Classify \(29\) as prime or composite.
Big Picture
What this problem is really about
Prime or composite classification depends on factor count, so we only need to test possible divisors up to the square root. We’ll bound the search for twenty-nine, check the relevant small primes with divisibility rules, and see whether any creates a nontrivial factor pair. If none does, only one and the number itself remain.
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