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Past high school data is being collected by a local city organization. The graduation years were divided among two clerks at the organization. The first clerk, Tommy, took the first 63 years, and Evelyn took the last 63 years. Each clerk had to spend time researching and gathering the data for each of those years. It is a time-consuming process. The two clerks learn that it is more time-consuming to research each year individually and then write down that information. Instead, the two decide to group their 63 years into equal groups. What are the possibilities of the groups that the two clerks can organize the years into? Use the factors of 63 to find the answer.
The number 63 does not have as many factors as other numbers. Just like all the other numbers, there are two factors that we know exist. Those are 1 and 63 because one and the number itself automatically divide equally into that number. However, we can eliminate 2 because 63 is not an even number. Let’s look at 3. Is 3 a factor of 63? If we divide 3 into 63, it is equally divided into it without having a remainder. Let’s check for the rest. Look at the list below. It shows the numbers between 1 and 63.
So, with the high school data project, there are a number of ways that the years may be grouped. Since there are 6 factors for 63, there are actually 6 ways to group. However, there are some that you would rule out. You would rule out 1 and 63 because you would not want one big group of 63 or 63 small groups. No matter how you look at it, these are the same ways and are technically not groups that could be used. So, there are four groups left, and these are 3, 7, 9, and 21. The years could be grouped into 3 groups of 21 or 21 groups of 3. They could be grouped into 7 groups of 9 or 9 groups of 7.
Factors of 63 are 1, 3, 7, 9, 21 and 63
A mansion has 63 rooms to tour. A tour guide has been hired to give tours of the mansion for visitors who come into the city. The tour guide can only spend a certain amount of time on each floor, so that other tour guides will not have to wait. One of the main rules of the tour is to keep the tour going. There is a certain amount of time allotted to each of the 7 floors. What is the average amount of time allotted to each room if tours can stay on a floor for 9 minutes?
The tour visitors could only spend 1 minute per room. Both 7 and 9 are factors of 63, so that makes it an equal number to the number of rooms.
Each year from 1900 to 1963, buildings were erected in a town. You want to find out how many buildings were erected each year. This will take a lot of time, so you decide to hire several people to research this. You place an in the newspaper for 3 people to do this temporary assignment. How many years will each person have to research if you divide the years equally among the 3 people? Use the factors of 63 to find your answer.
Each of the 3 people would have 21 years to research. That is because 3’s factor partner is 21. Twenty-one times 3 equals 63.
In a company, there are 64 employees, including administration. One person is tasked with mailing birthday cards to everyone in the company. However, you exclude yourself since you don’t need to send a card to yourself. So, that would make 63 cards. You decide to send out the whole month’s birthday cards at the beginning of each month. Is it even possible for you to mail out an equal number for each month? Use the factors of 63 to find your answer.
No. Most likely you would not even have an equal number of birthdays in each month anyway. However, it would be impossible because 12 is not a factor of 63. There are 12 months in a year.
You would need to find the factors of 63 in order to group items. If you needed to place objects equally into groups and the total amount of objects is 63, then you would need to know the factors of 63. Also, if you need to know the different ways to group these objects, it is important to know the factors of 63.
The factors for 63 include 1, 3, 7, 9, 21, and 63.
There are a few single digits that equal 63. They are 1, 3, 7, and 9. There are two factors in the list that are factor partners. They are 7 and 9 because 7 times 9 equals 63. The other factors, 1 and 3, are factors of 63 because they equally divide into 63 without having remainders, but their factor partners are not single digit.
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