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.
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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.
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.
Challenging Questions
Question 1List the factors of 28
Which positive whole numbers divide 28 without leaving a remainder?
The factors of 28 are 1, 2, 4, 7, 14, 28.
Each listed number divides the original number evenly.
Question 2Find the factor pairs of 28
Which multiplication pairs have a product of 28?
28 has these positive factor pairs: 1 × 28; 2 × 14; 4 × 7.
Multiplying the two numbers in any pair gives the original number.
Question 3Prime-factorize 28
What is the prime factorization of 28?
28 = 2 × 2 × 7.
Every number in the product is prime.
