Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.
Check a no-leftovers context
Problem
Can \(324\) cans be packed into boxes of \(9\) with no cans left over?
Big Picture
What this problem is really about
No leftovers means the total must be divisible by the box size. We’ll apply the digit-sum rule for nine to three hundred twenty-four, then use direct division to find whether the quotient is whole and multiplication to reconstruct the total. Those checks connect the quick divisibility test to the actual packing situation.
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