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A man just turned 69 years old. It just so happens that every third of his life a major milestone takes place. The first milestone is when he got married. His second milestone is when his first grandchild was born. Now, this milestone will be when this man decides to retire.
Use the factors of 69 to find out when the man got married. Also, find out when his first grandchild was born.
Factors of 69 are 1, 3, 23 and 69
Certain steps are required in finding the factors of a number like 69. You may be able to tell right off the bat that 69 does not have a lot of factors for it. First, it is not an even number. Second, it is not a number that has a single-digit multiplication fact for it. However, let’s see if we can find all of the factors. There might be a surprise set of factors in there that you might not have thought of.
With the 69-year old man’s milestones, we needs to find the factors of 69. They are 1, 3, 23, and 69. Since there are 3 milestones, we need to find 3’s factor partner. It is 23. So, the man’s first milestone of marriage took place at 23 years old. His second milestone took place 23 years later at 46 years old. This is when his first grandchild was born.
A cable company plan allows the customer to have 69 channels to use according to the plan the customer purchased. The customer likes to flip quickly without really looking carefully at the channel. He spends 23 seconds on 3 channels. If this is the pace that the customer is flipping through the channels, how long will it take him to get through all of the channels. Use the factors of 69 to find the answer to this question.
It will take 529 seconds or almost 9 minutes. The reason is because it takes the customer 23 seconds to peruse 3 channels. That means that there will be 23 groups of channels, so 23 times 23 is 529 seconds. If you divide 529 by 60, it would be almost 9 minutes. The factors are needed because 3’s factor partner is 23.
Sixty-nine receipts were accepted for today’s purchases at a local store. The receipts are sorted according to whether they are low amounts of $5 or less, average amounts of $5.01 to $25, or high amounts of $25.01 or more.What is the average amount of receipts that will be in each category?
There will be 23 receipts in each category on average because there are three categories to sort the receipts into. Three’s factor partner is 23 because 3 times 23 equals 69.
Sarah owes $69 to her friend. She wants to pay her back. The friend decides that she needs the money back in 23 weeks. How much will the friends have to pay back each week in order for the friend to have her money back by the time she needs it? Use the factors of 69 to help you find the answer.
Sarah will only have to pay $3 per week, which seems doable. This is because 23’s factor partner is 3 because 23 times 3 equals 69.
Usually, when you have a higher number, there are many factors because you have a higher number. However, in this case, 69 only has a few factors. One reason is because it is an odd number. Even numbers always have a factor of 2 because it is an even number. In this case, 69 only has 4 factors. Like all other numbers, it has 1 and itself, 69, are always factors. However, there is only one other set of numbers that can evenly be divided into 69 without having a remainder.
Sometimes, it is difficult to find all of the factors for a number. There is no way to know immediately with a number how many factors belong to that number, unless you memorized them. So, in this case, it might confuse people that there are only 4 factors for 69. Being an odd number, some people may not pick up the only two other factors than 1 and itself. However, the number 69 has 3 and 23 as factors. Some people may forget those.
Most students use factoring with things or objects that come in groups of 69. There are not a lot of things that come in groups of 69. One of the main reasons is because this number is so large that objects do not get grouped with such a high number. Instead, if there are items grouped into groups of 69, it would most likely be by chance. The only other ways that there would be groups of 69 might be because of money like someone had 69 dollars or 69 cents. It could be that there are 69 people in a room or situation. Also, there could be 69 pieces of paper that are being used. There are lots of circumstances in which the number 69 is used, but those would be by chance.
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