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Fifty-one employees are working at a candle-making factory. There are three departments in the company. These departments are the melting, finished product, and office departments. So, the company wants to divide the employees into those departments as evenly as possible. Use the factors of 51. Is that a possibility for the employees to be divided evenly into those three departments?
To find all the factors for 51, one of the best ways to do this is to follow a set of rules. These rules below will show you how to find these factors for 51.
With the candle-making factory, you should now be able to determine if the factory can evenly divide their 51 employees into those departments. First, based on the factors, 51 can be divided by 3 to get 17. Three and seventeen are factors of 51, and they are factor partners. So, with three departments, 17 employees will be working in each department of the candle-making factory. It can be done!
In the Jackson Square Neighborhood, there are 51 houses that have already been newly built. Only 3 streets have been created even though many more are in the works. Use the factors of 51 to find the number of houses on each street if there is an equal number of houses per street.
There would be 17 houses on each street. Since there are 51 total houses that have been built, this will be the main number. The factors are 3 and another number. The number 3 must be multiplied to this other number and equal 51. So, the number multiplied to 3 would be 17.
Mr. Henry borrowed $51 from a co-worker at his job in order to pay for a birthday party for his boss. The party went well, but now he owes the friend this money. The friend would like his money right now. However, it is just a few days before his next paycheck and Mr. Henry’s account is completely empty. His friend is sympathetic to Mr. Henry’s problem, but his friend could make efforts to try to pay it back. Mr. Henry realizes that he could collect cans on the street and be paid $17 for the lot of cans he brings in. If Mr. Henry does this each day, how long will it take him to get enough money to pay back his friend?
You can use the factors of 51 to find out how many days it will take Mr. Henry to pay back the $51 to his friend. You know that he will make $17 each day that he collects cans. If you divide 17 into 51, that would be an even 3. There would not be a remainder, so it would take Mr. Henry 3 days to get the whole amount of the money. To check this problem, you can make sure that 3 and 17 are factors of 51 and when multiplied together, it equals 51.
Karen collects pennies and puts them in a jar. Today, she has 51 pennies in the jar. She collected those pennies by going around the house and park and everywhere else finding pennies all over the place. She found an equal number of pennies in the morning as she did in the afternoon and at night. How many pennies did she find during each of those times of the day?
With 51 pennies, she found 17 pennies each time during the morning, afternoon, and night. Seventeen’s factor partner is 3 because 3 times 17 equals 51.
You can find the factors of 51 by first writing down the two factors that every number has. That would be 1 and the number itself, 51. Then, see if the number is an even or odd number. Even numbers will have 2 as a factor as well as 2’s factor partner for 51. In this case, 51 is an odd number. Then find whether 3 is a factor of 51 by dividing 3 into 51. If there is not a remainder, then it is a factor. There is no remainder, so 3 is 51’s factor. Three’s factor partner is 17 because 3 times 17 is 51. Finally, check to see if any number between 4 and 16 can divide equally into 51. There are no other factors for 51.
There is not a large number of factors for 51 because there are 4 factors for 51. They are 1, 3, 17, and 51.
There are only a few factors for 51 for a few reasons. First, this number is not an even number because it is an odd number. Automatically, two is ruled out. Fifty-one is not a number that has many multiplication facts for it. There are other numbers that have many multiplication facts for it. When you were studying your multiplication facts, you probably did not get 51 many times. There are also not many objects that are grouped into groups of 51.
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