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MF.NS.6 Challenge MF-006-A12-V03

Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.

Filter candidates by number-structure conditions

Problem

A school needs a number of chairs that can be arranged in equal groups for an event. Identify every chair total that meets all \(\text{three}\) conditions:
- divisible by \(8\),
- divisible by \(3\),
- and exactly \(\text{three}\) different prime factors.

Chair totals:
\(72\) chairs, \(96\) chairs, \(120\) chairs, \(168\) chairs

A blank comparison table for four chair totals: 72 chairs, 96 chairs, 120 chairs, and 168 chairs. The condition columns are divisible by 8, divisible by 3, and exactly 3 different prime factors. Open full size
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Four variants of this problem type
Curriculum context
Standard
MF.NS.6
Category
Number Sense
Domain
Whole-Number Structure
Objective
Use divisibility rules, prime factorization, and factor structure to analyze and solve whole-number problems.
Problem type
Filter candidates by number-structure conditions