Factors of 24 (Explained By Expert)

Factors of 24

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

To determine the factors of 24, you can divide 24 by all the whole numbers less than or equal to its square root (which is approximately 4.9 in this case) and find the pairs of factors. You can easily calculate the factors of 100 by the methods explained in this blog

For example:

• 24 divided by 1 equals 24, so 1 and 24 are a pair of factors.
• 24 divided by 2 equals 12, so 2 and 12 are also factors.
• 24 divided by 3 equals 8, so 3 and 8 are factors.
• 24 divided by 4 equals 6, so 4 and 6 are factors.

Note that each pair of factors consists of two numbers that multiply to give 24.

What is factorization?

Factorization is a mathematical process of breaking down a composite number into its prime factors. In other words, it involves finding the prime numbers that multiply together to give the original number. The prime factors of a number are the smallest prime numbers that divide the number exactly. Factorization is an important tool in number theory and has applications in many areas of mathematics and science, including cryptography, coding theory, and physics. It is used to simplify fractions, solve equations, find common denominators, and determine the divisors of a number, among other things. Factorization can be done using a variety of methods, including trial division, prime factorization, and algebraic methods.

How to find factors of 24

To find the factors of 24, you can use the following method:

Write down the number you want to find the factors of, in this case, 24.
Find two numbers that multiply to give you 24. Start with 1 and 24, and then try 2 and 12, 3 and 8, and 4 and 6.
If you find a pair of numbers that multiply to 24, write them down as factors. For example, if you try 2 and 12, you can write down “2, 12” as factors of 24.
Keep going until you have found all the factors of 24. In this case, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
Alternatively, you can use the method of prime factorization to find the factors of 24. First, find the prime factors of 24, which are 2, 2, 2, and 3. Then, write down all the possible combinations of these prime factors. For example:

2 x 2 x 2 x 3 = 24
2 x 2 x 6 = 24
2 x 3 x 4 = 24
8 x 3 = 24
4 x 6 = 24
These are all the factors of 24.

Methods to Find Factors of 24

There are several methods you can use to find the factors of 24:

Listing method: This is the most common and straightforward method. You can list all the whole numbers that divide 24 exactly, starting from 1 and ending with 24. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.

Prime factorization method: To use this method, you need to find the prime factors of 24, which are 2, 2, 2, and 3. Then, you can write down all the possible combinations of these prime factors, which will give you the factors of 24. The prime factorization of 24 is 2 x 2 x 2 x 3. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.

Division method: To use this method, you can start with 1 and divide 24 by each whole number greater than 1, up to half of 24. For example, 24 ÷ 2 = 12, so 2 and 12 are factors. Then, divide 24 by 3, 4, and so on until you get to 12. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.

Multiplication table method: To use this method, you can create a multiplication table for 24 and find all the pairs of numbers that multiply to give 24. For example, in the multiplication table for 24, you can find the pair 3 x 8 = 24. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.

All these methods will give you the same set of factors for 24.

Summary

The factors of 24 are the whole numbers that divide 24 exactly. These factors include 1, 2, 3, 4, 6, 8, 12, and 24. They can be found using various methods such as listing, prime factorization, division, and the multiplication tables. The prime factors of 24 are 2, 2, 2, and 3, and all the factors of 24 are multiples of these prime factors.