# Factors of 48

Factors of 48 are the numbers that divide the original number 48 completely without leaving the remainder. The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. These factors can be positive or negative numbers, for example, (1, 48) or (-1, -48). However, it is essential for kids to recognize and practice problems on factors of a number for a better understanding of the mathematical concepts. You can create interest among children to learn factors of 48 by conducting math activities. Implement these activities based on the children’s learning styles and patterns for their practical understanding.

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How would children find the factors of 48? Kids must understand the steps and methods to calculate factors of 48. They can find the factors of 48 using multiplication and division methods. Apart from learning factors of 48, kids must also get familiar with prime and pair factors of 48 for practical calculation purposes. The prime factors of 48 are 2 x 2 x 2 x 2 x 3 and pair factors are (1, 48), (2, 24), (3, 16), (4, 12), and (6, 8). The best way would be to engage kids to learn concepts of factors through math games for kids. This would help them learn while having fun.

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## What are the Factors of 48?

Factors of 48 are the numbers that divide the original number 48 completely without leaving the remainder. The number 48 is a composite number and has many factors besides one and the number itself. Thus, the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. Apart from this, kids need to learn about the prime factors and the steps to calculate them. The prime factor of 48 is 2 x 2 x 2 x 2 x 3= 24 x 3. When two factors of 48 multiply together, the product obtained is the original number. For example, (1, 48), (2, 24), (3, 16), (4, 12), and (6, 8). Apart from recognizing factors of 48, kids must learn how to find the factors to solve math problems. To do so, kids need to become familiar with tables 1 to 50 to solve multiplication and division problems easily.

## How to Find the Factors of 48?

To calculate the factors of 48, you need to divide the numbers with the original number without leaving the remainder. Now, let us see how to find the factors of 48 from the division method given below:

48/1 = 48

48/2 = 24

48/3 = 16

48/4 = 12

48/6 = 8

48/8 = 6

48/12 = 4

48/16 = 3

48/ 24 = 2

48/48 = 1

Therefore, the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

### Pair Factors of 48

These are the factors of 48 obtained when pairs of numbers are multiplied to get the original number 48. These pair factors of 48 can be positive and negative numbers. Kids need to get acquainted with 100 times tables to calculate multiplication related problems. In the case of negative pair factors of 48, when two negative numbers are multiplied, it gives the positive number. Let us check the calculations as given below.

1 x 48 = 48

2 x 24 = 48

3 x 16 = 48

4 x 12 = 48

6 x 8 = 48

8 x 6 = 48

12 x 4 = 48

16 x 3 = 48

24 x 2 = 48

48 x 1 = 48

Therefore, the pair factors of 48 are (1, 48), (2, 24), (3, 16), (4, 12) and (6, 8). Now, check out the method to find the negative pair factors of 48 given below.

-1 x -48 = 48

-2 x -24 = 48

-3 x -16 = 48

-4 x -12 = 48

-6 x -8 = 48

-8 x -6 = 48

-12 x -4 = 48

-16 x -3 = 48

-24 x -2 = 48

-48 x -1 = 48

Therefore, the negative pair factors of 48 are (-1, -48), (-2, -24), (-3, -16), (-4, -12) and (-6, -8).

### Prime Factors of 48

In this method, you need to divide the original number with the least prime number 2. Then, continue the process of the division until you find the quotient one. Here are the steps to calculate the prime factors of 48:

Step 1: 48/2 = 24

Step 2: 24/2 = 12

Step 3: 12/2= 6

Step 4: 6/2 = 3

Now, the number is not divisible by 2, so you can take the number 3.

Step 5: 3/3 = 1

Therefore, the prime factors of 48 are 2 x 2 x 2 x 2 x 3 = 24 x 3.

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## Solved Examples on Factors of 48

Some examples of factors of 48 for kids are mentioned below:

Example 1: Find the common factors of 72 and 48.

Solution: Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48

Therefore, the common factors of 1, 2, 3, 4, 6, 8, 12 and 24

Example 2: Pamela purchased 48 cotton candies from the market. She distributed all the cotton candies to 12 children on the street. How many cotton candies did each child receive?

Solution: Number of cotton candies = 48

Number of children = 12

Total number of cotton candies received by each child = 48/12 = 4

Therefore, the total number of cotton candies received by each child is 4.

## Benefits of Learning Factors of 48

The benefits of learning factors of 48 for kids are mentioned below:

• It helps kids solve mathematical problems with speed and accuracy.
• It improves academic scores in mathematics and other subjects.
• It helps kids make fast and accurate results in their day-to-day calculations.
• It boosts the children’s confidence to learn new mathematical concepts with ease.
• It develops mathematical skills in children.

We hope this article on factors of 48 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 48

### What is the total number of factors of 48?

There are ten factors of 48, and they are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

### What are the pair factors of 48?

The pair factors of 48 are (1, 48), (2, 24), (3, 16), (4, 12) and (6, 8).

### What are the prime factors of 48?

The prime factors of 48 are 2 x 2 x 2 x 2 x 3 = 24 x 3.

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