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Some mortgages are set for 30 years, and some are set for 15 years. Let’s say that you buy a house and get a 15-year mortgage on the property. However, you prefer to pay it off faster.
Every three years, you will increase your monthly payment by $200 based on the fact that you will earn more money every few years due to raises and bonuses at your job.
That sounds like a good plan. You might get to pay off your mortgage early. That would be really nice. To make this plan happen, you will need to find out how many times you will increase your monthly payments. This requires you to divide and use the factors of 15.
Using the factors for 15 can help you answer questions about grouping 15 objects. In this situation with the 15-year mortgage, you are grouping years. Factors for 15 can be found by following a set of rules in a diagram for finding factors.
From the diagram, in the green box, it states that 1 and 15 are factors of 15. As we move to the red box, we find that we need to figure out if 15 is an odd or even number. Fifteen is an odd number, so 2 will not be a factor.
Since it is an odd number, then we need to see if 3 can divide equally into 15 without getting a remainder. Fifteen divided by 3 is 5. So, 3 is a factor of 15. Its partner is 5. Last, we need to try and see if numbers 4 through 14 can be divided equally into 15 without any remainders.
We don’t have to try 5 because we know it is already a factor since it is a partner with 3. However, the other numbers are not factors because they would have remainders when they would be divided into 15.
Factors of 15 are 1, 3, 5 and 15
It is the annual bean soup contest time! Every year, you enter this contest. This year, you must make a 15-bean soup. Due to the high demands of the contest, as everyone is a great bean soup cook, you want to use small, medium, and large sizes of beans. How many different types of beans will you need for each size?
You will need 5 different types of beans for each size group. That means you will need 5 different small beans, 5 different medium-sized beans, and 5 different large-sized beans. To find this, you may look at the factors for 15. There are four factors, 1, 3, 5, and 15. If there are 3 groups, then you must look at its partner, 5. There would be 5 kinds of beans for each group.
You and your friends have been working on a project for most of the semester. You have 15 days left to finish your part of the project. You have 5 things left to do. Below is your checklist of the things you have left to do.
You want to budget your time to make sure that you spend enough time on each part, so you allot a certain amount of equal time to each of the 5 things left to do. How much time will you allot to each of the five things?
You will allot 3 days for each of the 5 things. So, you will spend 3 days on making the visual aid, 3 days on writing the bibliography, 3 days on writing the speech, 3 days practicing the speech, and 3 days recording the presentation. Then that will take 15 days.
As a phone surveyor, you have 15 calls left to make. Each phone call takes about 10 to 45 minutes depending on how long it takes each customer to complete your survey. You want to schedule a break after every few phone calls. You want to take a break at least after 4 phone calls. What is the best way to schedule your breaks? How many phone calls will you make based on this information before you take a break?
You must use the factors of 15 to find your answer. You will make 3 phone calls and then take your breaks. Let’s look at the factors for 15. There are 1, 3, 5, and 15. You would not take a break after one phone call. Also, you could not make more than 4 phone calls without a break, so you would have to make 3 phone calls. If you made 3 phone calls before each break, you would have an equal number by the time you finish your 15 phone calls.
First, include 1 and the number 15 as factors. Then see if 15 is an odd or even number. Since it is an odd number, you know that 2 will not be a factor. If you try 3, then you will see 3 can be divided into 15 equally and without a remainder. Then find 3’s partner. Three times what number will equal 15. It is 5. So, 5 is also a factor. Then try the rest of the numbers from 4 to 15, except for 5 and 15 because you have already figured out that those are factors for 15. After that, you may realize that there are no more factors for 15.
The factors for 15 are 1, 3, 5, and 15.
There are not a lot of objects that come in groups of 15 like there are with smaller numbers. However, that is not to say that there is nothing. Rugby Union plays with 15 players on the field. There is also a 15-passenger van.
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