Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.
Find a prime factorization
Problem
Write the complete prime factorization of \(84\) using exponents.
Big Picture
What this problem is really about
A prime factorization is complete only when every branch ends in a prime. We’ll split eighty-four into a convenient factor pair, keep breaking apart any composite branch, collect the prime leaves, and use an exponent for repeated factors. Multiplying the leaves back together checks that nothing was lost.
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