# Factors of 28

Factors of 28 are the numbers that divide the original number 28 evenly without leaving the remainder. The factors of 28 are 1, 2, 4, 7, 14, and 28. When you divide the original number by the integers, the remainder you get is zero. Kids must learn to recognize factors of a number and understand the concept to solve mathematical problems easily. To help them in this regard, you can conduct number games for kids. These games will help them stay alert and active while learning factors of 28 to gain mathematical knowledge.

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How would you teach children factors of 28? It would be best if you plan effective strategies to teach children factors of 28. The best way would be to engage them in math activities for a practical learning experience. When you multiply a pair of numbers, the result you get is the original number. The pair of numbers multiplied together are called pair factors. Besides this, teach kids prime factors of 28, which are the numbers obtained when the original number is divided by the prime numbers. However, teaching factors of 28 must be planned based on children’s age and grasping ability. This helps them understand the concept much better.

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## What are the Factors of 28?

Factors of 28 are the numbers obtained when you divide the original number 28 with the integers without leaving the remainder. The factors of 28 are 1, 2, 4, 7, 14, and 28. These numbers can be positive or negative but cannot be in decimal or fraction form. The pair factors of 28 are (1 x 28), (2, 14), and (4 x 7), whereas the negative factors of 28 are (-1 x -28), (-2, -14), and (-4 x -7). There are six factors of 28 and the total sum is 1 + 2 + 4 + 7 + 14 + 28 = 56. The prime factors of 28 are 2 x 2 x 7 = 22 x 7, where 2 and 7 are the prime numbers. Besides memorizing the numbers, kids must learn to calculate the pair and prime factors of 28 using the simple multiplication and division methods.

## How to Find the Factors of 28?

To calculate the factors of 28, you need to divide the original number with the integers without leaving the remainder using the division method. Also, make sure that the number that divides the original number is evenly divisible. Check the following method to find the factors of 28.

28/1 = 28

28/2 = 14

28/4 = 7

28/7 = 4

28/14 = 2

28/28 = 1

Therefore, the factors of 28 are 1, 2, 4, 7, 14, and 28.

## Pair Factors of 28

The pair factors of 28 are the pair of numbers multiplied together to get the original number. The pair factors of 28 can be positive or negative numbers. Learning a multiplication table for kids helps them calculate the pair factors of 28 effectively. Check out the following multiplication method to find the factors of 28.

1 x 28 = 28

2 x 14 = 28

4 x 7 = 28

7 x 4 = 28

14 x 2 = 28

28 x 1 = 28

Therefore, the pair factors of 28 are (1, 28), (2, 14), and (4, 7). You can teach kids to calculate negative pair factors using the multiplication method. When two negative factors are multiplied together, the result you get is positive. Check out the following method to find the negative pair factors of 28.

-1 x -28 = 28

-2 x -14 = 28

-4 x -7 = 28

-7 x -4 = 28

-14 x -2 = 28

-28 x -1 = 28

Therefore, the negative pair factors of 28 are (-1, -28), (-2, -14), and (-4, -7).

### Prime Factors of 28

The prime factors of 28 are the numbers that divide the original number 28 with the prime number until you get the quotient one. You can calculate the prime factors of 28 using the prime factorization method. The result you get is the prime numbers.

Step 1: Divide the original number with the least prime number 2.

28/2 = 14

Step 2: Again, divide the number 14 with the prime number 2.

14/2 = 7

Step 3: Since the number 7 is not divisible by 2, you can take prime number 7 to get a quotient one.

7/7 = 1

Therefore, the prime factors of 28 are 2 x 2 x 7 = 22 x 7.

## Solved Examples on Factors of 28

Some solved examples on factors of 28 are mentioned below.

Example 1: Find the common factors of 21 and 28

Solution: Factors of 21 = 1, 3, 7, and 21

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

Therefore, the common factors of 21 and 28 are 1 and 7.

Example 2: A boy purchased 28 burgers for his friends. He distributed all the burgers equally to his 4 friends. How many burgers did each friend get?

Solution: Number of burgers = 28

Number of friends = 4

Total number of burgers received by each friend = 28/4 = 7

Therefore, the total number of burgers received by each friend is 7.

Example 3: Find the common factors of 28 and 30.

Solution: Factors of 28 = 1, 2, 4, 7, 14, and 28

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, and 30.

Therefore, the common factors of 28 and 30 are 1 and 2.

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## Benefits of Learning Factors of 28

The benefits of learning factors of 28 for kids are mentioned below:

• It helps children understand the arithmetic concepts effectively.
• It helps children to make fast and accurate calculations.
• It increases children’s performance in mathematics and other subjects.
• It develops mathematical skills in children.
• It helps children to solve problems related to multiplication and division easily.

We hope this article on factors of 28 was useful to you. For more about activities, worksheets and games, explore worksheets for kids, math for kidspuzzles for kids, kids learning sections at Osmo.

## Frequently Asked Questions on Factors of 28

### What are the factors of 28?

The factors of 28 are 1, 2, 4, 7, 14, and 28.

### What are the pair factors of 28?

The pair factors of 28 are (1, 28), (2, 14), and (4, 7).

### What are the prime factors of 28?

The prime factors of 28 are 22 x 7.

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