Factors of 48

Factors of a number often come in pairs, and they can be found using different methods. Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
 

To find factors of a number, kids can use different methods for easy calculations. A few commonly used methods are as follows:

• Use of Multiplication Method
• Use of Division Method
• Use of Prime Factor and Prime Factorization.

So, here we discuss a detailed explanation of the following methods:
 

In this method, we identify pairs of numbers whose product equals the original number. Follow the steps mentioned below to find the factors.

Step 1: Start with 1 and continue multiplying it with other numbers until you get 48.

Step 2: After the calculation, we get to these numbers, the factors of 48.

1 × 48 = 48
2 × 24 = 48
3 × 16 = 48
4 × 12 = 48
6 × 8 = 48

Step 3: The factor pairs of 48 found through multiplication are (1, 48) (2, 24) (3, 16) (4, 12), and (6, 8)

Step 4: The negative factor pairs of 48 are (-1, -48) (-2, -24) (-3, -16) (-4, -12), and (-6, -8)
 

In the division method, we will break down the given number until we get the  remainder as zero. Follow the steps mentioned below to find the factors of 48 by division method:

Step 1: Divide 48 by smaller numbers and see if the remainder is zero. For Example, 48÷1 = 48. 

Step 2: Continue the process for other numbers as well. For 48, the factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. Because 48 can be divided evenly by these numbers.
 

In the method of prime factorization, a number is broken down into the product of its prime factors. The prime factors can be found by following the steps below:

2 is the smallest prime number, so start dividing by 2. And then continue to divide with other prime numbers.

48 ÷ 2 = 24
24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1

 The prime factorization of 48 is :

 48 = 2⁴ × 3¹

Finally, using the prime factorization method, the prime factors of 48 are 2 and 3.
 

A factor tree is a graphical representation of breaking down a composite number into its prime factors. It is an easy method to find prime factors of any number.

Step 1: 48 divided by 2 gives us the quotient of 24

Step 2: Since 24 is not a prime number, it can be divided further.

48 ÷ 2 = 24
24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1

 The prime factorization of 48 is written below : 

 48= 2⁴ × 3.
 

Every number has either a positive or negative factor. Let us look at those sets of factors.

Positive Factor Pairs:  (1, 48), (2, 24), (3, 16), (4, 12), (6, 8)
Negative Factors Pairs: (-1, -48), (-2, -24), (-3, -16), (-4, -12), (-6, -8)

• Factors: Factors are numbers that divide a given number evenly, without leaving a remainder. For example, 6 is divisible by 1, 2, 3, and 6. Therefore, 1, 2, 3, and 6 are the factors of 6.

• Prime Factors: Prime factors of the numbers that multiply together to give a certain product. For 48 the prime factors are 2 and 3.

• Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).

• Composite Numbers: composite numbers are the numbers that have more than 2 factors. For example: The composite number of 10 is 1, 2, 5, and 10

• Negative Factors: These numbers are the negative counterparts of the positive factors of a number. For example: the negative factor of 10 is -1, -2, -5, -10.