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With 32 kids in a French Club, the club sponsor, Mr. Henry, wants to plan a field trip to France. Wow! What a field trip! All 32 kids are going. Mr. Henry must follow the rules for overseas field trips. One of these rules is that there is a ratio of an adult teacher or chaperone to a certain number of students.
For this school system, each chaperone can’t have over 8 students in their group. So, there must be a ratio of 1:8 regarding the number of adult teachers or chaperones to students. This would include Mr. Henry because he would also have a group.
So, he needs to know how many other teachers or chaperones to ask to participate in his awesome field trip to France. How many adults will he need to ask?
One of the best ways to figure this out is to find the factors of 32. Let’s find out those factors.
Factors of 32 are 1, 2, 4, 8, 16 and 32
We can find the factors of 32 by reading each rule. Below is a set of steps showing how to find each and every factor of 32. Let’s look at the rules to find these factors. Then, we will be better able to resolve Mr. Henry’s problem of how many chaperones to get for his trip.
Therefore, 32 has factors of 1, 2, 4, 8, 16, and 32. With Mr. Henry, he has 8 students in a group. Eight’s factor partner is 4, so that means he will need 4 adults. With Mr. Henry included, that means he will need 3 more chaperones for his trip.
You will need to divide each number from 1 to 32 into 32 to see if it divides equally and evenly without having remainders.
In science, there is a group 32, but that doesn’t mean that there are 32 elements in the group. Most of the things that come in groups of 32 would be those that come in groups of 16 and then there would be two of those groups. So, there are 16 candles on a birthday. If there are twins in the family, when they turn 16, that would be 32 candles.
To find the factors of 32, multiply each number between 1 and 32 to see if it divides evenly into 32. You can eliminate some numbers because the first lowest number that goes into 32 and its partner would provide a range. For example, 2 is the next factor and the lowest. Then, 16 is its factor partner. So, now you only have to look at the numbers from 2 and 16.
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