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Factor (GCF) - Instruction - Level F

Coach Matt is making dodgeball teams. He has 16 fifth graders and 36 sixth graders. To be
fair, Coach Matt wants there to be the same number of fifth graders and the same number of
sixth graders on each team.
Can Coach Matt make 8 teams using all the fifth and sixth graders?
Choose the statement that explains why or why not.
• No. 8 is a factor of 16, but not a factor of 36.
6) What is the greatest number of teams Coach Matt can make using all the students?
.) Coach Matt can make ? teams with the same number of fifth graders
and the same number of sixth graders on each team.

1 Answer

3 votes

Final answer:

Coach Matt cannot make 8 teams with the same number of fifth and sixth graders on each team, but he can make 4 teams.

Step-by-step explanation:

To determine if Coach Matt can make 8 teams using all the fifth and sixth graders, we need to find the greatest common factor (GCF) of 16 and 36. The GCF is the largest number that divides both 16 and 36 evenly. In this case, the GCF is 4. Therefore, it is not possible for Coach Matt to make 8 teams with the same number of fifth graders and sixth graders on each team. However, Coach Matt can make 4 teams with 4 fifth graders and 4 sixth graders on each team.

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