Factor Calculator

Factors of 540

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, and 540. In total, 540 has 24 factors. Its prime factorization is 2² × 3³ × 5, and the sum of all its factors is 1680.

All factors of 540

Here are all 24 factors of 540, listed from smallest to largest.

1234569101215182027303645546090108135180270540

Factor pairs of 540

These 12 pairs of whole numbers each multiply to give 540.

1 × 540 = 540
2 × 270 = 540
3 × 180 = 540
4 × 135 = 540
5 × 108 = 540
6 × 90 = 540
9 × 60 = 540
10 × 54 = 540
12 × 45 = 540
15 × 36 = 540
18 × 30 = 540
20 × 27 = 540

Prime factorization of 540

Dividing 540 by the smallest prime at each step gives its prime factorization:

540 ÷ 2 = 270
270 ÷ 2 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Result: 540 = 2 × 2 × 3 × 3 × 3 × 5 = 2² × 3³ × 5

The distinct prime factors of 540 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 540

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

Factor tree of 5405402270213534531535
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 540

Number of factors24
Sum of factors1680
Sum of proper factors1140
Prime factorization2² × 3³ × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 540 interesting

  • 540 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
  • 540 is an abundant number: its proper factors sum to 1140, which is 600 more than 540 itself.
  • 540 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 540 yourself

Divide 540 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 √540 ≈ 23.24, because every factor above that pairs with one below it.

540 ÷ 1 = 540 ✓
540 ÷ 2 = 270 ✓
540 ÷ 3 = 180 ✓
540 ÷ 4 = 135 ✓
540 ÷ 5 = 108 ✓
540 ÷ 6 = 90 ✓
540 ÷ 9 = 60 ✓
540 ÷ 10 = 54 ✓
540 ÷ 12 = 45 ✓
540 ÷ 15 = 36 ✓
540 ÷ 18 = 30 ✓
540 ÷ 20 = 27 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540. The factor calculator does this automatically for any number.

Numbers mathematically connected to 540.

Frequently asked questions about 540

What are the factors of 540?

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, and 540. That is 24 factors in total, counting both 1 and 540.

Is 540 a prime number?

No, 540 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 540 is also divisible by 2.

What is the prime factorization of 540?

The prime factorization of 540 is 2² × 3³ × 5. Written out in full: 2 × 2 × 3 × 3 × 3 × 5 = 540. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 540?

There are 12 pairs of whole numbers that multiply to 540: 1 × 540, 2 × 270, 3 × 180, 4 × 135, 5 × 108, 6 × 90, 9 × 60, 10 × 54, 12 × 45, 15 × 36, 18 × 30, 20 × 27.

What is the sum of the factors of 540?

Adding all the factors of 540 together gives 1680. Excluding 540 itself, the proper factors sum to 1140.

Is 540 a perfect square?

No, 540 is not a perfect square. There is no whole number that multiplies by itself to give 540. The nearest perfect squares are 529 and 576.

What is the largest factor of 540 other than itself?

The largest factor of 540 apart from 540 itself is 270, since 540 ÷ 270 = 2.

How many factors does 540 have?

540 has 24 factors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, and 540. You can verify this from the prime factorization 2² × 3³ × 5: add 1 to each exponent and multiply, giving 3 × 4 × 2 = 24.

Explore more

Try another number in the factor calculator, break 540 down further with the prime factorization calculator, or compare 540 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.