Can you imagine when you get to be 60 years old? It seems like it is so far away. However, it will be here before you know it. Let’s say you are reaching this milestone, and you would like to celebrate these 60 years for the next 60 days. Wouldn’t that be wonderful?

So, for the next two months, you plan on celebrating by taking a day trip for 2 days each to a certain city, town, or relative you always wanted to visit. However, you need to make the arrangements. To do so, you will need to know how many cities, towns, or relatives you will be visiting. See if you can use the factors of 60 to find out how many trips you will be making.

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60

Look at the factors of 60. Use the steps to find all of the factors of 60. You will need to find all factors of 60 for many reasons. However, for the question about the 60th birthday, you will need to just know about one of the factors, but let’s find all of them.

The best way about doing this is to divide the number into 60 to see if there is a remainder. Let’s look at the next number, 3.

So, 3 divides evenly into 60. Therefore, 3 and 20 are both factors of 60. Now, we need to see if any numbers between 4 and 19 are factors. We will do the same. Let’s divide 4 into 60.

So, 4 is a factor of 60 because there is no remainder. Fifteen is 4’s factor partner. So, both four and fifteen are both factors of 60. Five would also be a factor of 60 because it would not have a remainder either.

If we checked 6, 7, 8, 9, and 10, we would find out that six and ten are factors of 60. However, 7, 8, and 9 are not factors of 60 because there would be a remainder.
Now, back to the 60th birthday problem with finding the number of cities, town or relatives. You could divide the 60 trips by every 2 days. So, we need to find 2’s factor partner for 60. That would be 30. So, we would be taking 30 trips. That is certainly a lot of trips.

Challenging Questions

In a nursing home, there are 60 residents. The nursing home has just opened, so the administration needs to hire nurses and other employees to take care of these residents. Since there are 60 residents in the home, each of the residents is placed in a group. Then the nurse will be in charge of that group of residents. If they need a ratio of 5 residents to 1 nurse, how many nurses will they hire in order to comply with the needed ratio?

Answer

You will need to use the factors of 60 to find the number of nurses needed to be hired at this nursing home. Since they placed the residents into groups of 5, then we will need to find 5’s factor partner or what number times 5 will equal 60. In this case, 5’s factor partner is 12. So, the nursing home needs to hire 12 nurses.

There are 60 minutes in an hour. If you have an hour to kill, but you don’t want to be bored, you decide to think of a range of activities to do during this hour. This way you will not be bored. So, you gather up some ideas. You have 6 things you are going to do, and you want to do those six things in an equal amount of time. How much time will you allot to each of those 6 things. Consider using the factors of 60 to find the answer.

Answer

Since 6 is a factor of 60, then you can allot an equal amount of time to doing each of those six things. You will need to find 6’s factor partner. In this case, 6’s factor partner is 10. So, you will spend 10 minutes each on each of those 6 things.

There are 60 boxes in a warehouse. They need to be moved out of the way for the forklift to be able to move easily around the warehouse. You are tasked with moving the boxes along the wall. The boxes are quite large, so only 20 boxes will fit along the wall. How many rows of boxes will you have if you stack the boxes equally on top of each other?

Answer

In this case, there will be 3 rows of boxes because 3 times 20 is 60. You had to find 3’s factor partner which is 20.

Frequently Asked Questions

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. There are quite a few factors for 60, so make sure you get them all.

There are many things that could go wrong when finding the factors of any number. However, one of the main problems with finding the factors of 60 is that there are so many factors for 60 that you might forget them. To make sure you have all of them, go through each and every number from 1 to 60 to make sure that it can be equally divided into 60 without having a remainder.

To find the factors of 60, divide each number from 1 to 60 into 60. If the number has a remainder, then it is not a factor of 60.