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Remember back in the olden days when a quarter went so much farther. It seems like today you can’t buy anything for 25 cents anymore. However, as a challenge, we are going to see if we can think of some things that might cost five cents. To use the whole quarter and imagine that there isn’t going to be tax added on, how many items will we need to buy?
First, let’s look at the items. Think about if these items could cost 5 cents if you had the ability to buy them individually. Also, think about how many items you would need to buy to use the whole quarter.
So, could you buy a paper clip, piece of candy, nail, gem, ribbon, sticker, or potato chip for 5 cents each? If so, how many could you buy if they were exactly 5 cents each in order to use up the whole quarter?
Factors of 25 are 1, 5, and 25
To find how many 5-cent items you could buy with your quarter takes the skill of factoring. The factoring of 25 needs to be considered when solving this problem. The factors of 25 are the numbers from 1 through 25 that can evenly be divided into 25 without having a remainder. For this number, there aren’t many of them.
Usually, once you find a number that evenly divides into the original number, there is a factor partner. This means that there is another number that goes with it and is also a factor of this number. In other words, these two numbers multiplied together will equal 25.
Every number has at least two factors, and those are 1 and itself. So, it would be 1 and 25. Since 25 is not an even number, then 2 is not going to evenly divide into 25. We can rule that one out. Next, we will look at 3 and 4. These don’t evenly divide into 25 either.
There would be remainders. Let’s look at 5. Five can evenly divide into 25 without having a remainder. However, what is its factor partner? It must have one. This happens every once in a while. The factor’s partner of 5 is 5 itself because 5 times itself, 5, is 25.
So, unlike other numbers that have an even number of factors, 25 has only 3 factors. These are 1, 5, and 25.
Back to our purchases of 5-cent items, Since each item is worth 5 cents, we would known that 5’s factor partner is also 5 in order to equal 25 when multiplied together.
So, we would need to purchase 5 items at 5 cents each in order to equal 25 cents.
On a farm, there are 25 horses roaming free in the pasture. A farmhand gathers the horses in order to put them in stalls in the barn. A storm was coming. Each stall only holds one horse. Otherwise, the horses might fight if two were put in the same stall. How many stalls are needed? Explain your answer using the factors of 25.
In this case, it is simple to figure out that if each horse must be in their own individual stall, then there would need to be 25 stalls. However, let’s explain how we get to that answer using factors. You would need to find the factor partner of 1 which is 25. Therefore, you would need 25 stalls.
You are on a game show and must describe 5 words in 25 seconds to the other two players on your team. How many seconds per word do you have?
Since there are 25 seconds, this is the number we will use to find the factors. There are only three factors for 25, so one of those numbers will be the correct one. With 5 words left, we need to find the factor partner for it. That would be five, so you would have five seconds to describe each word before the timer runs out.
You attend a school that has a lot of rules to follow. There are actually 25 rules to follow. At this strict school, you must memorize them. To do this, you need to evenly divide the 25 rules into groups. Then spend an equal amount of time on each rule to memorize them. If you have 30 minutes to memorize them. Use factors to determine how you will accomplish this task.
It might seem easy at first, but there is actually too much information that you will not be using to answer this question. You need to divide the 25 rules into equal numbered groups. There is only one way to do this because there is only one factor of 25 besides 1 and itself. That is 5. So, you would group the 25 rules into groups of 5. If you wanted to find how much time you should allot to memorizing each group of rules, then divide the amount of time, 30 minutes by five. That would be 6 minutes because 30 divided by 5 is 6.
The factors of 25 will most likely be used when you have groups of 25. There are not a lot of things that are often grouped by 25, but there are some. Also, there will be random times when things will happen to be grouped into a group of 25 like 25 students in a classroom, 25 toys, or 25 windows in a house.
For 25, there are only 3 factors because one of the factors can be multiplied to itself. That factor is 5.
To find the factors of 25, you need to divide each number between 1 and 25 into 25 to see if it will evenly divide into that number without having a remainder. In this case, only three numbers do that. Those are 1, 5, and 25.
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