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You just turned 18 years old, and you feel it is time to write a book about your life. Think about how you could divide your life into chapters. How many chapters will you have?
You may first want to begin by thinking of the sections of your life. It could be birth, childhood, family, academics, relationships, and the future. With these topics, you want to evenly divide these topics over the 18 chapters of your book.
Can you think about how many years will be allocated for each of the 6 chapters?
To find this out, you may want to look at the factors for 18. So, what are the factors, and what are the factors of 18?
One way to find the factors for 18 would be to create a factor tree. What is a factor tree, you ask? Actually, it is a diagram with branches to figure out the factors of 18. Think of a family tree without the family, but it contains numbers instead.
Let’s look at the factor tree for 18 below.
These factor trees include the two sets of factors that when multiplied together result in 18. So, 2, 3, 6, and 9 are factors of 18. However, there are two factors that are usually missing from a factor tree. These two factors are 1 and 18.
The reason they are excluded maybe because 1 and the number itself are always factors of any number.
So, all of the factors for 18 are 1, 2, 3, 6, 9, and 18. That is quite a lot of factors.
For the 18-year old’s book, we know that there will be 6 chapters. If there would be the same amount of years for each chapter, then each chapter would have 3 years of your life dedicated to each chapter. You could find this out based on the factor tree. As you can see, the factor tree that has a factor of 6 in it has a partner of 3.
Factors of 18 are 1, 2, 3, 6, 9, and 18
An 18-wheeler is a truck that has…yes, you guessed it…18 wheels on it. A tire inspection must be done for all of the truck’s wheels. For the inspection, the inspector can look at a group of wheels before moving onto another group of wheels for their inspection. The inspector would not put more than 4 tires into a group because then he would not remember the information about each tire before writing it down. In what ways could the inspector group the tires for the inspection?
There are two ways that the inspector can group the tires for his inspection. He can have nine groups of tires with two tires in each group, or he could group three tires together. If he grouped more, than he would not remember the information about the tires before writing it down.
There are 18 bikes in a bike rack. You must check each bike for its permit to park there. The permit is a sticker that is supposed to be placed on the front plate of each bike. In the long row of bikes, you notice that every third bike does not have a permit. How many bikes do not have a bike permit?
You can find the answer by looking at the factors of 18. If every 3rd bike does not have a bike permit, then 6 bikes do not have a permit. Three times 6 equals 18. Three and six are factors of 18.
A homeowner needs to replace all 18 windows in her house. However, that would be expensive, so the window company allows her to pay in installments. The only requirement with the installments is that these must be equal installments. What options would be available to her?
She could have 4 installment choices. The first choice would be 2 amounts for 9 installments or times. The second choice would be the opposite. You could pay 9 amounts for 2 installments or times. The third choice would be to pay 3 amounts for 6 installments or 6 amounts for 3 installments.
Farmer Fred has bought 18 cows, and he has placed them in his pen. He wants to know how many water troughs to set up. He knows he needs more than one trough. He learns from another farmer that he should have one trough for every 2 cows. In Farmer Fred’s situation, how many troughs will he need to buy?
Farmer Fred will need to buy 9 troughs because 2 and 9 are not only factors of 18, but also these two numbers are partners in the factors of 18. This means that 2 times 9 equals 18.
For the number 18, there are six factors.
To find all of the factors for 18, you will need to make a factor tree. So, how do you make a factor tree? To do that you will need to see what numbers go into 18 without having a remainder. Then create a tree with 18 at the top. Write the factors that go together off of each branch. Make sure to include 1 and 18 too.
The factors for 18 are 1, 2, 3, 6, 9, and 18. One times 18 equals 18. Two times 9 equals 18, and 3 times 6 equals 18.
You will need to know and use the factors of 18 when you need to make groups of 18 things. There are several things that are often grouped into 18. These include 18-wheeler trucks and 18 years old for an adult. There could be other random things that come in 18. Elementary classes are usually around the size of 18 students.
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