Problem preview

MF.NS.5 Standard MF-005-A05-V02

Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.

Use factors for equal-group arrangements

Problem

There are \(30\) students going on a field day, and the coach wants to split them into equal teams. List all possible team arrangements using all \(30\) students. Write each arrangement as number of teams and students on each team.

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1 team of 30; 2 teams of 15; 3 teams of 10; 4 teams of 7; 5 teams of 6; 6 teams of 5; 10 teams of 3; 15 teams of 2; 30 teams of 1

Teams of 1, 2, 3, 5, 6, 10, 15, or 30 students

1 team of 30; 2 teams of 15; 3 teams of 10; 5 teams of 6; 6 teams of 5; 10 teams of 3; 15 teams of 2; 30 teams of 1

1 team of 30; 2 teams of 15; 3 teams of 10; 5 teams of 6

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Curriculum context

Course: Math Foundations
Standard: MF.NS.5
Category: Number Sense
Domain: Whole-Number Structure
Objective: Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.
Problem type: Use factors for equal-group arrangements