Maths remains integral to our society.
Without it, we wouldn’t be able to construct enormous skyscrapers, understand population changes, or build AI algorithms.
Plus, what would all the high school math teachers do?!
Factors are one such essential math topic that can help us in everyday life.
Read on to learn everything you need to know about factors of 24.
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Defining the Term “Factors”
Whether you’re trying to find common factors of 24 and 36 or uncovering the factors of 1,456,
you need to use one of two math processes:
If you can divide one number by another number without resulting in a remainder, that number is called a factor.
You can also reverse the process using multiplication and get the same result.
So, with all this in mind, let’s look closely at the answer to the question, “What are the factors of 24?”
They are 1, 2, 3, 4, 6, 8, 12, and 24.
That’s eight factors in total!
What Are the Factor Pairs of 24?
First, let’s define factor pairs themselves.
A factor comprises two pairs of numbers that, when multiplied together, equal the factor. For example, if you look at all factors of 24, certain sets of those numbers equal 24 when multiplied.
The number 24 has four factor pairs:
1 and 24
2 and 12
3 and 8
4 and 6
Another way to look at the factor pairs of 24 is in equation form:
1 x 24 = 24
2 x 12 = 24
3 x 8 = 24
4 x 6 = 24
These can also be represented as negative numbers (negative factor pairs).
What Are the Prime Factors of 24?
You couldn’t list all the factors of 24 without including the prime factorization of 24.
To find the prime factors of 24, you need to start by finding the prime numbers among your list of factors.
But what exactly is a prime number?
Prime numbers are digits not divisible by any numeral other than 1 and themselves.
By applying that logic, we can quickly see that there are just a few prime factors among the list of factors 24.
So, what were those factors again? That’s right: 1, 2, 3, 4, 6, 8, 12, and 24.
As you can see, there are only two prime factors in this set of numbers: 2 and 3.
These are the prime factors of 24.
Learning All About Factors of 24
So, there you have it: there are eight factors, four factor pairs, and just two prime factors of 24!
You might wonder if uncovering the factors of 24 (or any number, for that matter) has any practical use in real life.
Aside from mastering this methodology to help you in your next school math test, you can rest assured without factors, there’d be no proof of the fundamental theorem of arithmetic!
To learn more about math, browse the other articles on our website.
Why not start with this one about the number of weeks in a school year?!