Factors of 27 – Definition With Examples
Updated on February 11, 2026
Are math factors challenging for you? Here’s how Brighterly breaks it down. The 27 factors will be explained in a simple manner, so there’s no chance you won’t understand them. We’re gonna explore not only the common factors of 27, but also the prime factors of 27.
What are factors of 27?
A factor of 27 is a pair of numbers multiplied together to yield 27. 27 has four factors overall, 27 being the biggest, and its positive factors being 1, 3, 9, and 27. The sum of all the factors of 27 is 40.
Additionally:
- The 27 factors are 1, 3, 9, and 27
- 27 Negative Factors: -1, -3, -9, and -27
- A prime factor for 27:3
- Factorization of 27 as 3 × 3 × 3 = 27
- The sum of factor of 27 is 40
Is 27 a prime or composite number?
Learners wondered is 27 prime. No, 27 is a composite number because it has more than two factors. While prime numbers are only divisible by 1 and themselves, 27 can also be divided evenly by 3 and 9.
A composite number is a positive integer greater than 1 that has at least one divisor other than 1 and itself.
Identifying the factors of 27
To identify the factors of 27, young learners can use division, multiplication, and prime factorization methods. Let’s see how they work.
Division technique
To find the factors of 27 using the division method, divide 27 by numbers starting with 1. If the result is a whole number without a remainder, that number is a factor.
- 27 ÷ 1 = 27
- 27 ÷ 3 = 9
- 27 ÷ 9 = 3
- 27 ÷ 27 = 1
So, 1, 3, 9, and 27 are factors of 27.
Multiplication technique
To find the factors of 27, you can use the multiplication method to pair up the factors and multiply them to get the original number (27). What multiplies to 27? Let’s examine the various pairs to reach 27.
- 1 × 27 = 27
- 3 × 9 = 27
Thus, the multiplication method yields the pairs (1, 27) and (3, 9). Since 27 is odd, it cannot be evenly divided by 2.
Properties of the factors of 27
Talking about properties, you should know that 27 isn’t a prime number, as it happily shakes hands with numbers other than 1 and itself (3 and 9, respectively). Thus, we’re talking about a composite number here.
While analyzing the table you’ll also notice that 27 is divisible by 3 twice, which shows it is a cube of 3 (3^3 = 27).
Factor pairs of 27
What times what equals 27? When two integers are multiplied, the product 27 is obtained, which is known as the factor pair of 27. For this approach, we will stick to the 27 positive-negative pair criteria.
Positive factor pairs of 27
The pair factors of positive integers can be found by multiplying two integers in a pair to obtain the original number 27:
- 1 × 27 = 27
- 3 × 9 = 27
So, the factors of 27 in pairs are as follows: (1, 27) and (3, 9).
Negative factor pairs of 27
When the two integers in a pair are multiplied together, the original number 27 is obtained. Here are the pairs of negative integer factors we will observe with 27:
- -1 × -27 = 27
- -3 × -9 = 27
This means that negative integers have pair factors (-1, -27) and (-3, -9).
All factors of 27
Here we list all the factors of 27:
- 1
- 3
- 9
- 27
27 factors are any numbers that divide 27 without leaving a remainder. To put it another way, multiplying these two numbers results in 27.
Difference between factors and multiples of 27
Some numbers show how to divide a number into smaller parts, while others show how to increase it. These are the factors and multiples, respectively. Since 1, 3, 9, and 27 divide 27 perfectly, they are considered factors. Here are your answers to the question “What goes into 27? ”
Multiples, on the other hand, are numbers you receive when you multiply 27 by whole numbers (or keep adding 27 to itself): 27, 54, 81, 108, and so on. By using them, you can see how the number 27 can grow infinitely.
Methods for finding factors of 27
The factor of 27 can be calculated using the following steps.
- Step 1. Identify the number that must be factored, e.g., 27.
- Step 2. Find pairs of numbers you can multiply together to get 27. For example, (1, 27) and (3, 9).
Here are some examples:
- Taking 3 and 9 as the factors, let’s look at them together.
- 3 is a prime number and has only two factors: 1 and 3.
- It is possible to write 3 as 3 × 1 = 3
- 9 is composite with factors like 1, 3, and 9. Its prime factorization is 3 × 3.
- In mathematical terms, 9 can be written as 3 x 3 = 9
Practice problems on factors for 27
- What is the sum of all the factors of 27?
- 30
- 39
- 40
- 41
- Which of the following numbers is a factor of 27?
- 2
- 3
- 6
- 13
- How many total factors does the number 27 have?
- 2
- 3
- 4
- 6
- Which of these is a correct factor pair for 27?
- (2, 13.5)
- (3, 9)
- (3, 7)
- (1, 17)
- Is 27 prime or a composite number?
- Prime
- Composite
Conclusion
We’ve covered all the questions related to factors of 27 and discovered that:
- 27 is a composite number
- The sum of all factors is 40
- 3 in a cube also gives us 27!
For mastering your knowledge in math, don’t forget to use Brighterly factor worksheets — they’re fun and easy.
Frequently asked questions on factors of 27
What are the factors of 27?
The factors of 27 are 1, 3, 9, 27. We can find them by multiplying or dividing methods.
What is the prime factorization of 27?
The prime factorization of 27 is given as 3x3x3=27.
Is 27 a prime number?
No, 27 is not a prime number. A prime number is defined as a number that has only two factors: 1 and itself. In the case of 27, it has four factors: 1, 3, 9, and 27. This makes 27 a composite number. Recognizing the difference between prime and composite numbers is one of the many skills Brighterly encourages in its comprehensive math curriculum for children.
Math & reading from 1st to 9th grade
Looking for homework support for your child?
Choose kid's grade
Math & Reading for Grades 1–9
Build real confidence for your child with a Brighterly math or reading tutor.
