Table Of Contents

123 Learners

Last updated on ** October 1st, 2024**

Those numbers whose dividend is completely divisible by quotient are factors. The factor of 24 can neither be a decimal nor a fraction.

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:- 2^{3}× 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 2^{3} × 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.