Factor Calculator

Factors of 1080

The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, and 1080. In total, 1080 has 32 factors. Its prime factorization is 2³ × 3³ × 5, and the sum of all its factors is 3600.

All factors of 1080

Here are all 32 factors of 1080, listed from smallest to largest.

123456891012151820242730364045546072901081201351802162703605401080

Factor pairs of 1080

These 16 pairs of whole numbers each multiply to give 1080.

1 × 1080 = 1080
2 × 540 = 1080
3 × 360 = 1080
4 × 270 = 1080
5 × 216 = 1080
6 × 180 = 1080
8 × 135 = 1080
9 × 120 = 1080
10 × 108 = 1080
12 × 90 = 1080
15 × 72 = 1080
18 × 60 = 1080
20 × 54 = 1080
24 × 45 = 1080
27 × 40 = 1080
30 × 36 = 1080

Prime factorization of 1080

Dividing 1080 by the smallest prime at each step gives its prime factorization:

1080 ÷ 2 = 540
540 ÷ 2 = 270
270 ÷ 2 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Result: 1080 = 2 × 2 × 2 × 3 × 3 × 3 × 5 = 2³ × 3³ × 5

The distinct prime factors of 1080 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 1080

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

Factor tree of 1080108025402270213534531535
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1080

Number of factors32
Sum of factors3600
Sum of proper factors2520
Prime factorization2³ × 3³ × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1080 interesting

  • 1080 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 16 different ways.
  • 1080 is an abundant number: its proper factors sum to 2520, which is 1440 more than 1080 itself.
  • 1080 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 1080 yourself

Divide 1080 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 √1080 ≈ 32.86, because every factor above that pairs with one below it.

1080 ÷ 1 = 1080 ✓
1080 ÷ 2 = 540 ✓
1080 ÷ 3 = 360 ✓
1080 ÷ 4 = 270 ✓
1080 ÷ 5 = 216 ✓
1080 ÷ 6 = 180 ✓
1080 ÷ 8 = 135 ✓
1080 ÷ 9 = 120 ✓
1080 ÷ 10 = 108 ✓
1080 ÷ 12 = 90 ✓
1080 ÷ 15 = 72 ✓
1080 ÷ 18 = 60 ✓
1080 ÷ 20 = 54 ✓
1080 ÷ 24 = 45 ✓
1080 ÷ 27 = 40 ✓
1080 ÷ 30 = 36 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, 1080. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1080.

Frequently asked questions about 1080

What are the factors of 1080?

The factors of 1080 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, and 1080. That is 32 factors in total, counting both 1 and 1080.

Is 1080 a prime number?

No, 1080 is not prime — it is a composite number with 32 factors. A prime number has exactly two factors, but 1080 is also divisible by 2.

What is the prime factorization of 1080?

The prime factorization of 1080 is 2³ × 3³ × 5. Written out in full: 2 × 2 × 2 × 3 × 3 × 3 × 5 = 1080. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 1080?

There are 16 pairs of whole numbers that multiply to 1080: 1 × 1080, 2 × 540, 3 × 360, 4 × 270, 5 × 216, 6 × 180, 8 × 135, 9 × 120, 10 × 108, 12 × 90, 15 × 72, 18 × 60, 20 × 54, 24 × 45, 27 × 40, 30 × 36.

What is the sum of the factors of 1080?

Adding all the factors of 1080 together gives 3600. Excluding 1080 itself, the proper factors sum to 2520.

Is 1080 a perfect square?

No, 1080 is not a perfect square. There is no whole number that multiplies by itself to give 1080. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1080 other than itself?

The largest factor of 1080 apart from 1080 itself is 540, since 1080 ÷ 540 = 2.

How many factors does 1080 have?

1080 has 32 factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 90, 108, 120, 135, 180, 216, 270, 360, 540, and 1080. You can verify this from the prime factorization 2³ × 3³ × 5: add 1 to each exponent and multiply, giving 4 × 4 × 2 = 32.

Explore more

Try another number in the factor calculator, break 1080 down further with the prime factorization calculator, or compare 1080 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.