Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.
Filter contextual choices by factor structure
Problem
Determine the shipment size that is even, divisible by \(3\), and not prime.
Big Picture
What this problem is really about
There are three conditions, so we’ll filter the shipment sizes in a deliberate order. First keep even values, then apply the digit-sum rule for divisibility by three, and finally confirm the remaining value has a nontrivial factor pair. A value must pass every test; meeting only one or two conditions is not enough.
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