Factor Calculator

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.

13927

Factor pairs of 27

These 2 pairs of whole numbers each multiply to give 27.

1 × 27 = 27
3 × 9 = 27

Prime factorization of 27

Dividing 27 by the smallest prime at each step gives its prime factorization:

27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Result: 27 = 3 × 3 × 3 =

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.

Factor tree of 27273933
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 27

Number of factors4
Sum of factors40
Sum of proper factors13
Prime factorization
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?Yes (3³)
ClassificationDeficient

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 √275.20, because every factor above that pairs with one below it.

27 ÷ 1 = 27
27 ÷ 3 = 9

Reading both columns gives every factor: 1, 3, 9, 27. The factor calculator does this automatically for any number.

Frequently asked questions about 27

What are the factors of 27?

The factors of 27 are 1, 3, 9, and 27. That is 4 factors in total, counting both 1 and 27.

Is 27 a prime number?

No, 27 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 27 is also divisible by 3.

What is the prime factorization of 27?

The prime factorization of 27 is 3³. Written out in full: 3 × 3 × 3 = 27. Its distinct prime factors are 3.

What two numbers multiply to give 27?

There are 2 pairs of whole numbers that multiply to 27: 1 × 27, 3 × 9.

What is the sum of the factors of 27?

Adding all the factors of 27 together gives 40. Excluding 27 itself, the proper factors sum to 13.

Is 27 a perfect square?

No, 27 is not a perfect square. There is no whole number that multiplies by itself to give 27. The nearest perfect squares are 25 and 36.

What is the largest factor of 27 other than itself?

The largest factor of 27 apart from 27 itself is 9, since 27 ÷ 9 = 3.

How many factors does 27 have?

27 has 4 factors: 1, 3, 9, and 27. You can verify this from the prime factorization 3³: add 1 to each exponent and multiply, giving 4 = 4.

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.