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In a large zoom meeting, there are 49 students in it. With this large of a class, the teacher wants the students to answer questions, but not all at the same time. That would be too difficult to manage with all of those answers coming into the chat box. You decide to equally divide this big group. How could you divide this group and how many students would be in each group?
The factors for the number, 49, are only a few. It is an odd number, so that eliminates 2 being a factor. There are only 3 factors. One of the factors, 7, has a factor partner of itself which lowers the number of factors even more.
Let’s find out the factors for forty-nine. To find out, we will see which numbers 49 or fewer can equally divide into 49. There could be no remainder, or it will not be considered a factor of 49. Let’s gather the factors!
Since there are not a lot of factors for 49, it is always best to double check when you realize that you have only a few factors for a number.
With the problem with the teacher’s massive zoom class, there is only one choice and that is 7 groups of 7 students. The teacher could have a group of 7 students answer the questions in the zoom chat box while the other students are doing something else like reading or writing. Then the next group of 7 students will answer the questions. In that way, the teacher can manage the amount of answers coming through the chat box at one time.
The temperature in a northern city started at a warm temperature at the beginning of the winter season. However, every seven days the temperature steadily and equally dropped degrees until it reached zero. If the temperature dropped an equal amount of degrees each seven days, how many full weeks did it take for the temperature to drop to zero?
It would take seven full weeks because there are 7 days in a week. So, for the factors of 49, there are only 3 of them. So, you will need to find 7’s factor partner. This will be a little difficult because usually there is a different number that is the factor’s partner. In this case, the number is 7. So, the factor and its partner are the same number.
Germany’s country code with communication is 49. Each country has a code for people to use. Usually the number starts with a plus sign and then the number, so Germany’s country code is +49. The United States has a country code of 1. Then there are numbers of countries in between 1 and 49. You are presented with a list of country codes that are not in alphabetical order, unfortunately. They are organized by in numerical order. If you are speeding through the list in equal sections, how would you do this? Describe your process.
You could use the factors of 49 to figure out the answer to the problem. The process would be to analyze a group of numbers at a time. You could do this by creating groups of 7. There would be 7 groups of 7 countries with their codes.
There are 49 days left until the end of the school year. As a teacher, you are certainly counting them down because you can’t wait for summer. However, on the last day of school, you will be having a trivia contest. You need to write 1000 questions for the trivia contest. You have decided that you will write an equal amount of questions per week. Use the factors of 49 to find how many questions you will write per week until the day of the trivia contest.
This is a 2-step problem. First, you will use the factors of 49 to find out how many weeks you have left. You have 7 weeks left and there are 7 days in each week, so 7 times 7 is 49. Then divide 1,000 by 7 which is 142.8, which would round up to 143.
Most numbers have many factors. However, there are some numbers that are prime numbers. This means that they only have factors of 1 and itself. Then there are some numbers that have very few factors but are not prime numbers. That is the case with 49. It is not a prime number, but it has one of the lowest number of factors without being a prime number.
A factor partner is a number that can be multiplied to another factor to get the main number. For 49, 1 and 49 are factor partners because when they are multiplied together, that results in 49. Seven is also a factor and its own factor partner. When 7 is multiplied to 7, it equals 49.
The factors of 49 are 1, 7, and 49.
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