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Have you ever poured the last drops of the orange juice into your glass from the container only to find that your friends come in demanding that you share it with them? It seems fair because no one likes someone to take the last full glass of orange juice.
Your glass holds 16 ounces of juice. Your two other friends grab 2 of the same glasses. Now, you want to make it fair, so you tell your friends that everyone will get the same ounces of orange juice.
So, do you really think you can make that happen? Actually, that would be impossible. It all has to do with the factors of 16 as well as the number of people in this group. Let’s take a closer look at the factors for 16 before we look back at this orange juice situation.
The factors for 16 can be found by looking at all of the numbers that are 16 and fewer. With these numbers, you will need to take each number and divide it into 16.
Does that number divide into 16 equally without a remainder? If so, then that number is a factor for 16. If not, then it isn’t a factor for 16.
Now, back to our orange juice problem. Someone in your group of 3, which includes yourself, will not get the same amount. This is because 3 is not a factor of 16. You will have a remainder of 1. One person will get 1 more ounce than everyone else.
Factors of 16 are 1, 2, 4, 8 and 16.
As a traveling salesman, Bill must go to each county in his small state to try to sell his encyclopedias. He wants to hit every county. Since there are 16 counties, he decides that he will travel to four states at a time and then rest the next day. Then he will tackle another four states.
How many groups of states will Bill have? Use the factors of 16 to answer this question.
Bill will have four groups of states. The factors for 16 are 1, 2, 4, 8, and 16. Since there are 5 factors, the middle factor must be partnered with itself. So, there are four groups with four states in each group. Four times four equals 16.
In your intense reading class, you must read 16 articles during the next two weeks.
How many equal articles will you read each week to be finished in two weeks?
You will need to read 8 articles to finish in two weeks. Since you have 16 articles, you can divide 16 by 2 to get 8. Also, you could look at the factors for 16 to see that 2 and 8 are the factors for 16.
As the drama club teacher, this year you found 3 plays in your stash of plays in your closet. You want each of your 16 students to participate, so you want each student to either take a role in the play or be the understudy.
Which play below do you choose?
If you have 16 students, then you would need to choose the play, Our Town, because 8 is a factor of 16, and you will have 2 students assigned to each character or role.
It is Sarah’s Sweet 16 birthday. Sarah’s mother is placing the 16 candles onto her birthday cake. She wants to arrange them in groups of 2.
How many groups of candles will there be on Sarah’s birthday cake?
There will be 8 groups of candles with 2 candles in each group. Eight times 2 equals 16.
There is no way to tell at first how many factors there are in the number 16. Instead, you must determine how many numbers between 1 and 16 can be equally divided into 16 without having a remainder.
There are several times in which items or objects are grouped into groups of 16. There would be 16 candles on a Sweet 16 birthday cake, and there are 16 ounces in a pound.
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