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The movie store is designing a movie display with 10 action movies, 24 comedies, and 40 kids movies. Each shelf will have only one type of movie on it. Lauren says she can put 5 movies on each shelf. She listed the common factors of 10, 24, and 40 below to support her reasoning.
10: 1, 2, 3, 4, 5, 7, 10
24: 1, 2, 3, 4, 5, 6, 8, 12, 24
40: 1, 2, 4, 5, 8, 10, 20, 40
Is she correct? Explain your answer. If her reasoning is
incorrect, explain how she should have found the answer.
The factors of 10 are incorrect. They should be 1, 2, 5, and 10. The factors of 24 are also incorrect. 5 would not be a factor of 24. The common factors of 10, 24, and 40 are 1 and 2 so she could only put 1 or 2 movies on each shelf.