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The Factors of 24 signify the divisibility of the number 24 with a number lower than 24 without leaving any remainder. Moreover, these factors come into use when simplifying and solving equations in mathematics. Additionally, in this blog, you will learn the Factors of 24, their sum, the factor tree, the division method, and factor pairs.
Table of Contents
What are the Factors of 24?
Factors of a number are all the integers that divide evenly into that number whilst leaving no remainder.
Moreover, when it comes to 24, these are the factors:
1, 2, 3, 4, 6, 8, 12, and 24
Furthermore, each factor can be multiplied by another factor of 24 to get the original number, which is 24.
For example, 2 x 12 = 24, or 3 x 8 = 24.
Notably, 1 and the number itself are always assumed factors of any number. So, 1 and 24 are automatically included in the list of Factors for 24.
Also Read: What is the Difference Between Real Numbers and Integers?
What is the Sum of the Factors of 24?
If you are curious about the Sum of all the Factors of 24, you will need to add them up, hence:
1 + 2 + 3 + 4 + 6 + 8 + 12 + 24 = 60
Thus, the Sum of the Factors of 24 is 60.
Also Read: All You Need to Know About HCF and LCM
What is the Factor Tree of 24?
A Factor tree is a visual representation of how a number can be broken down into its Prime factors. Additionally, Prime factors are numbers that cannot be divided into smaller whole numbers (except 1 and itself). Here is what the factor tree for 24 looks like:
In this tree, we start with 24 at the top and continuously divide it by its Prime factors (2 and 3) until we reach numbers that cannot be divided further (prime numbers). Consequently, the branches represent the division process, hence showing how we can reach 1 by multiplying the Prime factors along each branch.
Also Read: 10 Properties of Determinants: Formulas and Examples
Factors of 24 by Division Method
Moreover, finding factors can be done via the Division Method, and here is how:
- You need to divide 24 by the smallest whole number other than 1, which is 2. If the division is exact (no remainder), 2 is a factor. In this case, 24 divided by 2 equals 12.
- Then continue dividing the result (12 in this case) by whole numbers. If the division is exact again, that number is also a factor. We can see that 12 divided by 2 is 6.
- Keep dividing until you reach a point where the division is no longer exact (a remainder appears). This indicates you have reached a non-factor. In our case, dividing 6 by 2 results in a remainder of 0, so 2 is a factor again.
- Moreover, by following this process, you will discover all the factors of 24 (1, 2, 3, 4, 6, 8, 12, and 24).
Also Read: Algebraic Identities: Examples and Chart
What are Factor Pairs for 24?
Another way to look at factors is through Factor pairs. These are pairs of numbers that, when multiplied, result in the original number. For 24, the factor pairs are as follows:
- (1, 24)
- (2, 12)
- (3, 8)
- (4, 6)
Each pair represents two factors of 24 that when multiplied, give us 24. Moreover, understanding the Factor pairs can be helpful in diverse usages, like finding the Highest Common Factor (HCF) or Least Common Multiple (LCM) of numbers.
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