Factor Calculator

Factors of 54

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54. In total, 54 has 8 factors. Its prime factorization is 2 × 3³, and the sum of all its factors is 120.

All factors of 54

Here are all 8 factors of 54, listed from smallest to largest.

12369182754

Factor pairs of 54

These 4 pairs of whole numbers each multiply to give 54.

1 × 54 = 54
2 × 27 = 54
3 × 18 = 54
6 × 9 = 54

Prime factorization of 54

Dividing 54 by the smallest prime at each step gives its prime factorization:

54 ÷ 2 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Result: 54 = 2 × 3 × 3 × 3 = 2 × 3³

The distinct prime factors of 54 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 54

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 54542273933
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 54

Number of factors8
Sum of factors120
Sum of proper factors66
Prime factorization2 × 3³
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 54 interesting

  • 54 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 54 is an abundant number: its proper factors sum to 66, which is 12 more than 54 itself.

How to find the factors of 54 yourself

Divide 54 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 √54 ≈ 7.35, because every factor above that pairs with one below it.

54 ÷ 1 = 54 ✓
54 ÷ 2 = 27 ✓
54 ÷ 3 = 18 ✓
54 ÷ 6 = 9 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 18, 27, 54. The factor calculator does this automatically for any number.

Numbers mathematically connected to 54.

Frequently asked questions about 54

What are the factors of 54?

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54. That is 8 factors in total, counting both 1 and 54.

Is 54 a prime number?

No, 54 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 54 is also divisible by 2.

What is the prime factorization of 54?

The prime factorization of 54 is 2 × 3³. Written out in full: 2 × 3 × 3 × 3 = 54. Its distinct prime factors are 2, 3.

What two numbers multiply to give 54?

There are 4 pairs of whole numbers that multiply to 54: 1 × 54, 2 × 27, 3 × 18, 6 × 9.

What is the sum of the factors of 54?

Adding all the factors of 54 together gives 120. Excluding 54 itself, the proper factors sum to 66.

Is 54 a perfect square?

No, 54 is not a perfect square. There is no whole number that multiplies by itself to give 54. The nearest perfect squares are 49 and 64.

What is the largest factor of 54 other than itself?

The largest factor of 54 apart from 54 itself is 27, since 54 ÷ 27 = 2.

How many factors does 54 have?

54 has 8 factors: 1, 2, 3, 6, 9, 18, 27, and 54. You can verify this from the prime factorization 2 × 3³: add 1 to each exponent and multiply, giving 2 × 4 = 8.

Explore more

Try another number in the factor calculator, break 54 down further with the prime factorization calculator, or compare 54 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.