Factors of 24

The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.These are the numbers that can divide 24 completely.

 Negative factors of 24:These are the negative counterparts of the positive factors.

 Negative factors: -1, -2, -3, -4,  -6, -8, -12, -24

Prime factors of 24: Prime factors are the prime numbers when multiplied together give the product 

 Prime factors of 24: 2 and 3

Prime factorization of 24: Prime factorization involves breaking the number into its prime factors

Expressed as:-  2³× 3

sum of the factors of 24: The sum refers to the number we get by adding the factors of the given number.

Sum:  1+ 2 + 3 + 4 +  6 + 8 + 12 + 24  = 60

Overview of the factors of 24

The factors can be found using different methods. These make sure that the factors obtained are correct. Methods to find the factors of 24:

• Multiplication Method

• Division Method

• Prime Factors and Factorization

• Factor Tree
   

The multiplication method involves finding pairs of numbers when multiplied, giving 24 as the product.

A step-by-step process of finding the factors:

Step 1: Find the possible numbers whose product will give 24.

Step 2: The numbers found should have 24 as the product. These numbers are its factors.

Step 3: Rewrite the particular numbers and pair them.

A list of numbers whose products are 24 is given below:

• 1 × 24 = 24

• 2 × 12 = 24

• 3 × 8 = 24

• 4 × 6   = 24

The division method finds the numbers that fully divide the given number. 

Step-by-step process in division method:

Step 1: Always start dividing the number with 1. Since every number is divisible by 1, both the number and 1 will always be its factors. Example: 24÷1 = 24    

Step 2: Move to the next integer and see if the number gets divided completely. Both divisor and quotient are the factors. Example: 24÷2 = 12, 24÷3 = 8 and so on.
              
Overview of factors of 24 using the division method:

Multiplying prime numbers to get the given number as their product is called prime factors. Prime factorization is the process of breaking down the number into its prime factors.

Prime Factors of 24: To identify the prime factors of 24, we identify the prime numbers whose product results in 24
Prime Factors of 24: 2, 3

Step 1: Start with the smallest prime number 2

24 ÷ 2 =12

12 ÷ 2 = 6

6   ÷ 2 = 3

Step 2: Take the next prime number, which is 3

24÷3 = 8

Prime factorization of 24: The process of breaking down 24 into prime numbers and expressing them as a product of these is known as prime factorization.

Prime Factorization of 24 is expressed as 2³ × 3
 

The prime factorization is visually represented using the factor tree. It helps to understand the process easily.

Factor Tree for 24:

Factor Pairs: Factor pairs are like team members. The product of the factor pairs will be the same as the number given.

Here’s a list of positive and negative factors pairs of 24:

• Factors: Factors are those numbers that divide the given number without leaving no remainder. 

• prime factorization: The prime factorization of numbers involves breaking them down into their prime factors.

• Prime factors: Prime numbers that multiply together to form a given number.

• Least common multiple (LCM): smallest number which is a multiple of the given number.

• Composite number: Number that has at least more than one divisor other than 1 and the number itself.