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On a television show that you are watching, you notice quite often that the detectives need clues within the first 48 hours to solve a crime. If they don’t get a clue within the first 48 hours, it is likely that the case may turn cold. Detectives work very hard during the first 48 hours.
Since there are only two detectives on this case, they need to split the time equally among different witnesses. How many witnesses could they interview and allocate the same amount of time to them? What would be the minimum number and minimum amount of witnesses they could interview within the first 48 hours.
You will need to use the factors of 48 to find the answer. That would be the easiest way to figure out this situation for the detectives. See if you can do that.
Number 48 has quite a few factors mainly since it is an even number. However, there are other reasons too. It is a multiple of 12 which is a popular number as many things are grouped into dozens. A way to find the factors of 48 would be to list all the numbers from 1-48 like the list below. Then you can be assured that all factors will be included.
You need to determine if each number can equally divide into 12. There should be no remainder. You may need to use a calculator. Work a division problem for each one. If there is a remainder for that problem, then it is not a factor. All the other numbers that do equally divide into 48 without remainders would be considered factors of 48. Remember a factor always has a factor partner. When you multiply the factor number and its partner together, you will get the number, 48. Sometimes, a factor’s partner can be itself.
The numbers with a remainder should be eliminated because they are not factors of 48. You should check each factor by matching it with its factor partner. So, when they are multiplied together, they will equal 48. Below shows the factor number and its partner, which is also a factor of 48.
Back to the detective situation, you can solve this problem now that you know the factors of 48. Since there are 10 factors for 48, then the detective could have 10 different combinations of witnesses and hours. They could have 1 witness and interview them for 48 hours or 1 hour each for 48 witnesses. Both of these would be the least and highly unlikely. The detectives could interview or question 2 witnesses at 24 hours each or 2 hours for 24 witnesses. They could interview 3 witnesses for 16 hours each or 3 hours for 16 witnesses. They could interview 4 witnesses at 12 hours each or 12 witnesses at 4 hours each. Last, they could interview 6 witnesses at 8 hours each or 8 witnesses at 6 hours each.
A fence requires 48 pickets spread apart to create a fenced-in area out back. Use the factors to determine how many sections you will have if there are 8 pickets to each section.
To find the answer, find 8’s factor partner that when you multiply them together, it will equal 48. So, 8’s factor partner is 6. That means there are 6 sections of pickets with 8 pickets in each section.
There are 48 people waiting in a very long line at the DMV. If 3 people get through the line each hour, how many hours will you wait in line if you are that 48th person?
Using the factors of 48, it would take you 16 hours to get through that line at the DMV. You could figure this out by using the factor partner of 3 which would be 16. No offense to the DMV.
An ancient civilization has posted its 48 laws for everyone to see. Each of the laws is grouped into a type of category. There are the same number of laws in each category. If there are 4 categories, use the factors of 48 to find the number of laws in each category.
There would be 12 laws in each category because 4’s factor partner is 12.
There are 10 factors for 48.
We need to know the factors of 48, so that you can evenly group objects that equal to 48.
You can find a factor’s partner by dividing the number 48 by that number. Then you will get the factor partner.
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