Introduction:
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.
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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.
The ultimate learning platform that every parent needs in a K-8th grade household - to boost scores and confidence!
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/month$40.00
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Challenging Questions
Question 1List the factors of 60
Which positive whole numbers divide 60 without leaving a remainder?
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 60
Which multiplication pairs have a product of 60?
60 has these positive factor pairs: 1 × 60; 2 × 30; 3 × 20; 4 × 15; 5 × 12; 6 × 10.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 60
What is the prime factorization of 60?
60 = 2 × 2 × 3 × 5.
Every number in the product is prime.
