ENTER BELOW FOR ARGOPREP'S FREE WEEKLY GIVEAWAYS. EVERY WEEK!
FREE 100$ in books to a family!
With 54 independent countries in Africa, a social studies teacher provides her students with the map of those countries. She tells her students that they must color the map using different colors and then they will need to memorize these countries for a test. She recommends color-coordinating the countries by placing them into groups and then study each group at a time. Bridget wants to keep her map organized, so she decides she will organize the countries into equal groups. Help Bridget to make a plan organizing the 54 countries into groups. Explain the possibilities for Bridget.
How can we break down 54 to find its factors? One way to do this is by using dollars. Let’s say that you have 54 dollars. You can group this into evenly distributed groups. That means there will be the same number of bills in each group.
So, after looking at the money groups, these represent the factors of 54. In the first group, there is 1 group of 54 dollars or you could imagine that each dollar is in a different group. You would have 54 groups of 1. In group 2, you have two groups of 27 dollars each. Again, this could represent the opposite with 27 groups of 2 dollars in each group. In the third group, you have 3 groups of 18 dollars each or 18 groups with 3 dollars in each group. Finally, the last group, 4, has 9 groups of 6 dollars in each group. You could also have 6 groups with 9 dollars in each group.
Therefore, our factors for 54 are the following:
For Bridget, she has several reasonable options for grouping the 54 countries. She would not group them into 1 big group, 54 little groups or 2 big groups or 27 small groups. That would not be reasonable for Bridget. So, Bridget can use 3 colored pencils and place 18 countries in each group. She could do the opposite in which she has 18 colored pencils and 18 groups with 3 countries in each group. She could also have 6 groups of 9 or 9 groups of 6.
There are only a few steps to finding all of the factors for this number, 54. However, these steps can be used with finding other factors for other numbers too. For 54, first write down 1 and itself as the first factors for 54. Then since 54 is an even number, 2 will be a factor and its partner. Twenty-seven is 2’s partner, so 27 is also a factor of 54. Then find if any other numbers between 3 and 26 are factors. There are also 3, 6, 9, and 18.
There are not a lot of choices for items that come in such a large group like 54. There are 54 independent countries in Africa. However, there is not much else, unless it was just random.
Sometimes, it takes a tedious way of making sure that you have done something right. In this case, you will want to make sure that you have all of the factors for 54. To do this and make sure you are not missing any numbers, you will need to go through each and every number from 1 to 54 without missing any. With each number divide it into 54 to see if it equally divides into it. If it does, then you have a factor of 54.
Shipping calculated at checkout.