Factors of 27
The factors of 27 are 1, 3, 9, and 27. In total, 27 has 4 factors. Its prime factorization is 3³, and the sum of all its factors is 40.
All factors of 27
Here are all 4 factors of 27, listed from smallest to largest.
Factor pairs of 27
These 2 pairs of whole numbers each multiply to give 27.
Prime factorization of 27
Dividing 27 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 27 are 3. To factorize any other number, use the prime factorization calculator.
Factor tree of 27
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 27
| Number of factors | 4 |
|---|---|
| Sum of factors | 40 |
| Sum of proper factors | 13 |
| Prime factorization | 3³ |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | Yes (3³) |
| Classification | Deficient |
What makes 27 interesting
- 27 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 27 is a perfect cube: 3 × 3 × 3 = 27.
- 27 is a deficient number: its proper factors sum to 13, which is 14 less than 27 itself.
- 27 is a prime power: it is 3 raised to the power of 3. All of its factors are powers of 3.
How to find the factors of 27 yourself
Divide 27 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √27 ≈ 5.20, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 9, 27. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 27.
Frequently asked questions about 27
What are the factors of 27?
Is 27 a prime number?
What is the prime factorization of 27?
What two numbers multiply to give 27?
What is the sum of the factors of 27?
Is 27 a perfect square?
What is the largest factor of 27 other than itself?
How many factors does 27 have?
Explore more
Try another number in the factor calculator, break 27 down further with the prime factorization calculator, or compare 27 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.