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There are 12 things in a dozen. It seems many things are grouped into a dozen. The number 12 even got its own word…dozen. This shows how useful it would be to know the factors of 12.
Whenever you group something that came from a dozen, then you will need to use division and the factors of 12.
When you think of a dozen, the first thing you think of might be a dozen eggs. For the most part, eggs come in cartons of 12. It has been this way for a long time.
However, who uses a dozen eggs in a dish at one time? Most likely, you use a few unless you are making a large quiche or cooking 12 eggs for breakfast.
Let’s say you are scrambling 12 eggs for breakfast for your family. Each person gets a certain amount of eggs for their breakfast. So, you need to divide it equally. Here is where factors come in handy.
If the number of people in your family is not a factor of 12, then someone will get more eggs than someone else. In order to make it fair, you would need to have scrambled more or fewer eggs than 12 or allow the parents to eat a few more eggs than your children.
For the number 12, there are a few more factors than previous numbers. A way to find the factors of 12 would be to list all the numbers from 1-12 like the list below.
Then decide if each number can equally be divided into 12 without having a remainder. If you are not sure whether these possible factors can equally divide into 12, then use a calculator or create and work a division problem for each one.
When you divide the number into 12 and if there is a remainder, then it is not a factor. You can cross that number out. The remaining numbers would be the factors of 12.
From these calculations, you can tell that the factors above that do not have a remainder would be 1, 2, 3, 4, 6, and 12.
To check, each factor should have a partner. So, when they are multiplied together, they will equal 12.
Let’s double check to make sure.
The last thing to do is to check to see that each number in our multiplication facts above are in our factor list for 12…and they are all in our factor 12 list.
Factors of 12 are 1, 2, 3, 4, 6, and 12
Kevin wants to buy a lot of doughnuts from his local doughnut shop. While placing his order, he decides that he will also purchase a dozen doughnuts with mixed doughnuts. Usually, the doughnut worker will place an equal amount of each type of doughnut in the box. The doughnut shop has 4 different types of doughnuts that Kevin likes.How many of each doughnut will Kevin have in his dozen?
Kevin’s dozen doughnuts will include 3 doughnuts from each of the 4 kinds of doughnuts that he likes. There are 12 doughnuts in the dozen. Twelve divided by 4 equals 3.
After a high-profile trial, the case goes to the jury. The 12 jurors sit in the jury room discussing the evidence in the case. They have the duty of deciding whether the defendant is guilty of a robbery crime. After hours of discussion, the jury is split equally with half of them thinking the defendant is guilty and the other half thinking the defendant is innocent.Using the factors of 12, how many jurors are on each side of the decision?
There will be 6 jurors on each side. Six jurors feel the defendant is guilty, and the other six feel he is innocent. Since the jury has 12 members on it, then half would be 6. To use the factors of 12, think about what half means. If you cut something into half, you would divide it by 2. Therefore, 12 divided by 2 is 6.
A dozen flags are laying on the ground. You are responsible for placing the flags in a decorative arrangement. You realize you could arrange them in equal rows.What combinations of equal rows could you arrange the dozen flags?
There are 6 combinations of arrangements for the dozen flags. You could arrange them in 1 long row of 12 flags or 12 rows of 1 flag each. You could also arrange the flags in 3 rows of 4 flags or 4 rows of 3 flags. Last, the flags could be arranged in 2 rows of 6 flags or 6 rows with 2 flags in them.
Some people may not have trouble finding the factors of 12, but some may. The reason is that 12 has more factors than the 11 numbers before it. Twelve has 6 factors whereas the other numbers before 12 have 4 or fewer factors.
Someone might use the factors of 12 more often than other numbers because many objects come in groups of 12 or in a dozen.
You can make sure that you have all of the factors of 12 by dividing numbers 1-12 into 12 to see if any of them have a remainder when dividing. If there is a remainder, then that number is not a factor of 12.
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