Factor Calculator

Factors of 780

The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, and 780. In total, 780 has 24 factors. Its prime factorization is 2² × 3 × 5 × 13, and the sum of all its factors is 2352.

All factors of 780

Here are all 24 factors of 780, listed from smallest to largest.

123456101213152026303952606578130156195260390780

Factor pairs of 780

These 12 pairs of whole numbers each multiply to give 780.

1 × 780 = 780
2 × 390 = 780
3 × 260 = 780
4 × 195 = 780
5 × 156 = 780
6 × 130 = 780
10 × 78 = 780
12 × 65 = 780
13 × 60 = 780
15 × 52 = 780
20 × 39 = 780
26 × 30 = 780

Prime factorization of 780

Dividing 780 by the smallest prime at each step gives its prime factorization:

780 ÷ 2 = 390
390 ÷ 2 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 780 = 2 × 2 × 3 × 5 × 13 = 2² × 3 × 5 × 13

The distinct prime factors of 780 are 2, 3, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 780

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

Factor tree of 78078023902195365513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 780

Number of factors24
Sum of factors2352
Sum of proper factors1572
Prime factorization2² × 3 × 5 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 780 interesting

  • 780 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.
  • 780 is an abundant number: its proper factors sum to 1572, which is 792 more than 780 itself.
  • 780 is a triangular number — it is the sum of the first 39 whole numbers (1 + 2 + … + 39 = 780).
  • 780 has 4 distinct prime factors (2, 3, 5, 13), which is why it has so many divisors.

How to find the factors of 780 yourself

Divide 780 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 √780 ≈ 27.93, because every factor above that pairs with one below it.

780 ÷ 1 = 780 ✓
780 ÷ 2 = 390 ✓
780 ÷ 3 = 260 ✓
780 ÷ 4 = 195 ✓
780 ÷ 5 = 156 ✓
780 ÷ 6 = 130 ✓
780 ÷ 10 = 78 ✓
780 ÷ 12 = 65 ✓
780 ÷ 13 = 60 ✓
780 ÷ 15 = 52 ✓
780 ÷ 20 = 39 ✓
780 ÷ 26 = 30 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. The factor calculator does this automatically for any number.

Numbers mathematically connected to 780.

Frequently asked questions about 780

What are the factors of 780?

The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, and 780. That is 24 factors in total, counting both 1 and 780.

Is 780 a prime number?

No, 780 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 780 is also divisible by 2.

What is the prime factorization of 780?

The prime factorization of 780 is 2² × 3 × 5 × 13. Written out in full: 2 × 2 × 3 × 5 × 13 = 780. Its distinct prime factors are 2, 3, 5, 13.

What two numbers multiply to give 780?

There are 12 pairs of whole numbers that multiply to 780: 1 × 780, 2 × 390, 3 × 260, 4 × 195, 5 × 156, 6 × 130, 10 × 78, 12 × 65, 13 × 60, 15 × 52, 20 × 39, 26 × 30.

What is the sum of the factors of 780?

Adding all the factors of 780 together gives 2352. Excluding 780 itself, the proper factors sum to 1572.

Is 780 a perfect square?

No, 780 is not a perfect square. There is no whole number that multiplies by itself to give 780. The nearest perfect squares are 729 and 784.

What is the largest factor of 780 other than itself?

The largest factor of 780 apart from 780 itself is 390, since 780 ÷ 390 = 2.

How many factors does 780 have?

780 has 24 factors: 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, and 780. You can verify this from the prime factorization 2² × 3 × 5 × 13: add 1 to each exponent and multiply, giving 3 × 2 × 2 × 2 = 24.

Explore more

Try another number in the factor calculator, break 780 down further with the prime factorization calculator, or compare 780 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.