Lily plans a charity event with 180 meals. She can prepare 180 bags, each containing 1 meal, ensuring equal distribution.
Problem:
Lily is organizing a charity event to raise funds for a local animal shelter. She wants to distribute bags of pet food to the attendees, and she wants each bag to contain the same number of meals.
To determine the number of meals per bag, Lily decides to use a positive integer that represents the total number of meals she has available.
However, she wants to ensure that the number she chooses has a specific property: the number of bags should be a factor of the total number of meals, and each bag should contain an equal number of meals.
If Lily has 180 meals in total, what is the maximum number of bags she can prepare while ensuring that each bag contains an equal number of meals?
Solving the problem:
To find the maximum number of bags, we need to find all the factors of 180 and choose the largest factor. The factors of 180 are:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
Among these factors, the largest one is 180.
Therefore, Lily can prepare a maximum of 180 bags, ensuring that each bag contains an equal number of meals.
Each bag would then have
180/180=1.
Question
Write a problem about a realistic situation that involves the concept of factors. Solving your problem should involve finding all the factors of a number.