Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.
Combine divisibility clues and factor structure
Problem
Determine the complete set of true statements about \(1,260\). - It is divisible by \(4\). - It is divisible by \(8\). - It is divisible by \(9\). - It is divisible by \(10\). - It is divisible by \(12\). - It is divisible by \(15\). - It has \(21\) as a factor. - Its prime factorization includes exactly one factor of \(5\).
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