Factors of 28

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Factors of 28

Unlike the other months, there are only 28 days in February. It is the only month that has that few of days. The rest of the months have more.

At the end of this month, Debby will be taking a huge exam to get certified for a department at her job. The exam will cover math and English skills. Since Debby hasn’t studied these subjects in years, she will need to spend an equal amount of time studying them.

So, she needs to figure out how many days she will spend studying each subject.


To do this, you will need to know the factors of 28. So, let’s see how to find those factors.

Factors of 28 are 1, 2, 4, 7, 14, and 28

The factors of a number like 28 are the numbers from one to the number, 28, that can be evenly divided into it without having a remainder. Therefore, not all numbers will be factors. Also, each factor has a partner that is also a factor. For instance, 4 is a factor of 28 because 4 goes into 28 without having a remainder.

However, we need to know its factor partner. This would be the number that can be multiplied to number 4 to get 28. So, 4’s factor partner is 7.

We need to see if there are any others. We will look at multiplication facts to see if any other number between 1 and 28 can or can’t be divided evenly into 28 without having remainders. If it has a remainder, it is not a factor of 28.

Factors of 28 are 1 2 4 7 14 and 28

With these, several of them do not equally divide into 28, so the number that was closest is shown. It is also crossed out since it would not be a factor of 28.

Back to the exam for Debby. We have learned that there are 6 factors which are 1, 2, 4, 7, 14, and 28. The factor of 2 has a partner of 14. This means that there are 14 days in each group since there are 2 groups. Debby will spend 14 days studying each subject.

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