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In math class, your teacher presents you with a word problem using the triangle below. You realize that you need to divide the angle in half. To divide the 45 degree angle, you want to use the factors of 45 since you are so familiar with factoring.
Can you use factors of 45 to know which degree to split this angle in half?
Remember, you won’t have a remainder with factors. So, factors are whole numbers.
Factors of 45 are 1 and 45
The images below show the factors of 45. To find this, you had to find which numbers from 1 to 45 can divide into 45 without having a remainder.
Many boy bands have 5 members in them. Therefore, if we multiplied the 5 members by 9 groups, that would equal 45. Those are two factors for 45. Wow! That is a lot of boy bands.
The other factors for 45 are 1 and itself, 45. So, all of the factors are 1, 5, 9, and 45.
Remember back to the angle from the word problem in your math class. Let’s see if you can use the factors of 45 to see where to divide this angle in half. Since you will be dividing it in half, you will need to equally divide the number, 45, by 2.
Since it is an odd number, you will not be able to use a factor of 45 to help you with this problem. Therefore, the answer is no.
An anthropology class at a local college has 45 students in it. A group project has been assigned by the professor. Each group will have an equal number of students in them. Each group will have 3 tasks to do based on the assignment. The professor knows he will have to grade a total 27 tasks at the end. How many students will be in each group? Use the factors of 45 to find the answer.
There will be 5 students in each group. To find this answer, first you actually need to know how groups there will be. Since each group will submit 3 tasks and there will be 27 tasks at the end, that means there will be 9 groups because 27 divided by 3 is 9. Then you will need to divide 45 students by the number of groups, 9, so the answer is 5. Five and nine are factor partners for the number, 45 because 9 times 5 equals 45.
Ms. Thompson is planning some birthday activities for her daughter and her daughter’s friends during the birthday party. She looks online and finds that there is a list of 45 suggestions for activities that can be done at a child’s birthday party based on her child’s age. Each activity is divided into 5 categories. What would be the average amount of activities per category? Use factors of 45 to find your answer.
Five is a factor of 45, so now you need to find the factor partner of 5. Which number multiplied by 5 would equal 45? This would be 9.
On a battlefield, there are 45 troops on there. If the troops become divided on the battlefield in equal amounts, what possibilities are there in this situation?
There is really only one possibility due to the few factors there are for the number, 45. So, the troops could divide into 9 groups of 5 or 5 groups of 9. Otherwise, there would be too many troops in a group.
There are many things that come in groups of 45. Because 45 is a round number since it ends in 5, there are many things that have 45 objects in them. If you drive a car, you may notice that many roads and streets have signs posted for speed limits. Forty-five mile per hour signs are common because they want people to drive below that speed limit. Also, in math, many times you will see in geometry 45-degree angles in triangle. That is a common angle amount. Finally, 45 days is a common amount of time to use for something. It is a month and a half. If you ever have bought a house, at first it was expected for buyers to close on a house within 30 days. However, now it takes longer and it could be about 45 days.
You would need to know the factors for 45 because you may have to further answer questions and work problems after you have figured out the factors of 45. Finding the factors may be only the first step in solving a problem. However, it is best to know those numbers before trying to work the rest of the problem. Factors has to do also with learning your multiplication facts.
The factors for 45 are 1, 5, 9 and 45. This is a number that does not have a lot of factors even though it is a larger number. You may already tell that a factor for 45 is not 2 because 45 is not an even number.
Most likely, you will struggle if you don’t know how to divide or you struggle with that concept. This is because when you are trying to find the factors for a number, you will be doing a lot of dividing. If you divide incorrectly, then you may list a factor for a number that is really not a factor. One way to avoid this mistake would be to either use a calculator if that is a possibility or practice dividing. Last, you could memorize the factors for certain numbers that are used a lot in your math problems.
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