After getting married 65 years ago, Mr. and Mrs. Williams are ready to celebrate their 65th anniversary. Their family has decided to create a scrapbook as a memento for the past 65 years. There are 5 members in the family wanting to help create this scrapbook. Each year of their lives will be detailed on a page in the scrapbook. Since there will be 65 pages, how many pages will each person of the family be in charge of? Use the factors of 65 to find the answer.

Factors of 65 are 1, 5, 13 and 65

To find all the factors for 65, 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 65.

With the scrapbook that will be created by the family for the Williams’ anniversary, we learned that there are 5 people in the family who are helping out. So, each person will create 13 pages in the scrapbook. That is because 5’s factor partner is 13.

Challenging Questions

A car is driving at 65 miles per hour. However, the car can accelerate from zero to 65 in several seconds. If the car accelerates at 5 miles per hour every second, how long would it take to get to 65 miles per hour? Use the factors of 65 to help you find the answer to this problem.

Answer

The car would take 13 seconds to accelerate to 65 because 5’s factor partner is 13. Remember it accelerates 5 miles per hour every second. Five times 13 equals 65.

A group of employees will be retiring from a large corporation. The group is 65. Instead of having all of the retiring employees retire at one time, they decide to stagger the retirement for the employees. Since there are 65 employees, they divide the employees into equal groups. What are the possibilities of grouping these employees?

Answer

There are only two possibilities because there are only 4 factors of 65. You can’t include 1 and itself, 65, because the company doesn’t want everyone to retire at the same time. So, the other two factors are 5 and 13. There could be 5 groups of 13 employees or 13 groups with 5 employees in them.

A Driver’s Ed book had 65 pages in it. A student wants to focus on every page of the book in order to pass their driver’s license test. He divides the book into sections in order to study each section. How many pages would he study per section, and how many sections would there be? There may be more than one correct answer. Use the factors of 65 to help you find the answer to this problem.

Answer

There are two options. First, know that the factors of 65 are 5 and 13 other than the 1 and 65. So, there could be 5 sections with 13 pages in each section or 13 sections with 5 pages in each section.

Frequently Asked Questions

To find the factors of 65, start with one and itself, 65. Then know that you can skip 2 because 65 is not an even number because it is an odd number. Next, divide 65 by 3. It is not a factor for 65 because there would be a remainder. The same will happen with 4. If you divide 4 into 65, there would be a remainder. Next, you will have to see if 5 through 64 are factors of 65 by dividing them into 65 to see if there is a remainder. For the number 5, there is not a remainder. Thirteen is also a factor for 65 because it will equally divide into 65. As a matter of fact, 5 and 13 are factor partners because when you multiply 5 and 13 together, it will equal 65. The other numbers are not factors of 65 because there would be a remainder.

There are some ways to use 65. Sixty-five is a number used often with ages. Many people retire or can get their retirement money at this age. Also, it is used for speeds like 65 miles per hour.

There are only a very few amount of factors for 65. There are only 4 of them. They are 1, 5, 13, and 65.