The number 108 is a composite number, which means that it is a product of two or more prime numbers. In this case, it can be expressed as 3 x 3 x 3 x 4. As such, the factors of 108 are 3, 4, 9, 12, 36, and 108. But what does this mean exactly? In this article, we’ll discuss what factors are, what the factors of 108 are, and how to find the factors of other numbers.
What are Factors?
In mathematics, factors are numbers that divide into a given number evenly. In other words, factors are the numbers that you multiply together to get the original number. As such, the factors of 108 are those numbers that, when multiplied together, equal 108.
For example, if you want to find the factors of 12, you can break it down into 2 x 6, 3 x 4, and 4 x 3. This means that 2, 3, 4, 6, and 12 are all factors of 12.
What Are The Factors Of 108?
As mentioned, the factors of 108 are 3, 4, 9, 12, 36, and 108. You can break this down further by noting that 3 x 3 x 3 x 4 equals 108. This is because 3 x 3 x 3 equals 27, and 27 x 4 equals 108.
How to Find The Factors of Other Numbers
Finding the factors of other numbers is quite simple. First, you must determine whether the number is prime or composite. Prime numbers are those numbers that can only be divided by 1 and itself. Composite numbers are those that can be divided by more than just 1 and itself.
If the number is composite, you must break it down into its prime factors. To do this, you can use a process called prime factorization. This involves breaking down the number into its prime factors until you’re left with only prime numbers. Once you’ve done this, you can easily list the factors of the number.
For example, if you want to find the factors of 24, you can use prime factorization to break it down into 2 x 2 x 2 x 3. This means that the factors of 24 are 2, 3, 4, 6, 8, 12, and 24.
People Also Ask
What are the factors of 72?
The factors of 72 are 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
What are the factors of 144?
The factors of 144 are 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.
What are the factors of 18?
The factors of 18 are 2, 3, 6, and 18.
What are the factors of 30?
The factors of 30 are 2, 3, 5, 6, 10, 15, and 30.
In summary, the factors of 108 are 3, 4, 9, 12, 36, and 108. Factors are numbers that divide into a given number evenly. To find the factors of other numbers, you must first determine whether the number is prime or composite. If it’s composite, you must use prime factorization to break it down into its prime factors. Understanding factors is important in mathematics, and can help you to solve many mathematical problems.
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