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While doing a social studies research report on the Philippines, Billy comes to the part of his report for the geography section. His assignment requires a lot of research and details as this is a lengthy assignment that he has been doing over the course of the semester. He learns that the Philippines is divided into 77 provinces. His report needs to analyze the provinces. Instead of writing about each province, he decides to group them. He realizes that writing about each province would take up too much time and too much of his research report since this report has a maximum word count. If Billy wants to divide the provinces into groups of equal numbers of provinces, what is the best way that he could do this? Use the factors of 77 to explain your answer for Billy’s problem.
To find all the factors for 77, one of the best ways to do this is to follow a set of rules. These rules below will show you how to find these factors for 77.
With the research report of Philippines, there are only 4 choices because there are only 4 factors of 77. The factors of 77 are 1, 7, 11, and 77. So, it would be best to divide the 77 provinces of Philippines into either 7 groups or 11 groups. I believe either way would be fine.
A business was established 77 years ago. To determine why his business has been so successful for 77 years, the owner has tasked a department with analyzing each group of years to find out the inventory and history during those years. This will provide him with information about how the decade or time influenced the inventory they stocked. With 11 people in the department, how many years will each person analyze if the years are grouped equally, meaning that everyone will analyze the same number of years?
There are 77 years that we are analyzing in this department. Also, we know that there are 11 people in the department. We need to know 11’s factor partner for 77. This means that 11 times what number equals 77. That would be 7. So, each person in the department will analyze 7 years during the last 77 years of the business’s existence.
Kevin’s mother makes him put all 77 toys in his room away on Saturday. Kevin has 3 containers to put his toys in. Most of the 77 toys are the same shape, so Kevin must put the toys into those three boxes. Can Kevin put an equal number of those toys in the three boxes? Use the factors of 77 to explain why or why not that is possible.
No, there will be an unequal amount of toys in those boxes mainly because 3 is not a factor of 77. One or two of the boxes would contain more or fewer toys than the others.
A department store has 77 mugs of different sizes and shapes on the shelves. If there are 11 different types of mugs, how many, on average, of each type of mug does this department store have?
Use your knowledge of factors of 77 to find the answer.
There will be 7 mugs for each type of mug. This is because 7 is the factor partner of 11 because 7 times 11 is 77.
On a kitchen floor, there are 77 tiles that have been laid down in a certain pattern. The pattern consists of 7 tiles in one group for the pattern. In this case, how many groups are there in this 77 tile floor?
Use the factors of 77 to find the number of groups are in this patterned tile floor.
There would be 11 groups since there are 7 tiles in each group because 7 times 11 equals 77. Seven and eleven are both factors of 77, and 7 is a factor partner for 11.
To find all of the factors of 77, you need to divide all of the numbers from 1 to the number, 77. If these numbers equally divide into 77 without having a remainder, then that number is a factor of 77. If there is a remainder, then the number is not a factor of 77.
To solve factor questions, you must know how to divide or use a calculator to divide. If the calculator shows a decimal after the number, then it isn’t a factor of 77. If it is a whole number, then it is a factor of 77. Many of the questions may be word problems. So, you must be able to analyze the word problem to find how the factors of 77 will help you answer that problem.
The best top for finding the factors of 77 without missing any is to divide every number between 1 and 77 to see if it divides equally.
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