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My sister has a closet full of clothes. As a matter of fact, she has 58 different dresses. In this closet of mainly dresses, the dresses fall into being one of 29 different colors. Using this information, see if you can figure out how many dresses of each color my sister has in her closet. Use the factors of 58 to find the answer to this problem.
The factoring of 58 needs to be considered carefully. The factors of 58 are the numbers from 1 through 58 that can evenly be divided into 58 without having a remainder.
To find the factors of 58, you need to write down the first two factors. Those are 1 and itself, so 1 and 58. Then see if the number is an even number. Fifty-eight is an even number, so 2 is a factor as well as its factor partner. What number multiplied by 2 equals to 58? This number is 29. Then, see if any numbers between 3 and 28 are factors of 58. In this case, there are not. You only have to go up to 28 because half of the numbers will not equally divide into a number because they will be too big.
With my sister’s situation of dresses, you can figure out with the factors of 58 how many dresses she has of each of the 29 colors. To do this, you need to find 29’s factor partner for 58. In this case, 29’s factor partner is 2. So, my sister has two dresses of each of the 29 different colors in her closet.
In a bag, a farmer has picked 58 strawberries off the vine. He wants to take half of them and use them immediately for a strawberry pie. The rest will be stored for canning at a later time. Based on this information, how many strawberries will be used for both of those purposes?
You can use the factors of 58 to figure out this problem. First, you know that there are 2 purposes for the strawberries. Those are making a strawberry pie and storing them for canning later. Since there are 2 purposes, you need to find 2’s factor partner. Two has a factor partner with 58 so that means there will be an equal amount of strawberries for the pie and canning. That would be 29. There will be 29 strawberries in the pie and 29 strawberries for canning.
A preschool teacher at the Scribble Dribble Preschool Academy of the Fine Arts has assigned her students to practice drawing stars on their paper. Missy decides that she wants all of her stars to be organized in a nice pattern on her page. Think about all of the options little Missy has for her drawing practice. How many possibilities will she have?
Missy has a few possibilities. These include that she could draw 1 long line of 58 stars, 2 lines of 29 stars, or 29 lines with 2 stars in each line. Depending on the length of her paper, she will probably need to draw her stars small.
On the Mountain Tall Basketball Team, there is a total of 58 players, coaches, managers, assistants, and other workers who work for this organization. As the 58 players and staff board the bus, they see that there are 29 rows on this bus. One row has been removed for equipment. How many people will sit in each row? Will there be enough seats or will they need to take more vehicles?
There will be 2 players per seat. Two is a factor of 58 and its factor partner is 29. So, there should be just enough places for all of the 58 people. It is unlikely on a bus that more than 2 people can sit comfortably on a row on a bus.
There are 4 factors for the number 58, and these factors include 1, 2, 29, and 58.
The best way to find all of the factors of 58 is to first make a list. List all of the numbers from 1 to 58 on a sheet of paper. Go through each number and see if it will divide equally into 58 without having a remainder. If the number does have a remainder, then cross out that number on your list. If it doesn’t, see what that number’s factor partner is. Circle both the number and its factor partner. Continue going through this until you have divided all of the numbers into 58. Remember that 1 and the number itself, 58 are always factors. The numbers you have circles are the factors of 58.
In many cases with factors, you can use factors to find out how many groups you can make with the number like 58. You may want to find out how many equal groups you can make with 58 objects. If you know the factors of 58, then you instantly know the number of equal groups you could make. Since there are 4 factors (1, 2, 29, and 58), then you have four equal groups.
Unfortunately, there are not a lot of groupings of 58 things. The number 58 is a large number, and many things are grouped into smaller numbers. The only things that are grouped into groups of 58 would be at random. There may be 58 people in a room or auditorium. There could be 58 words on a page in a book or 58 cans of food in a pantry. However, those would be by chance. It would not be expected.
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