Factor Calculator

Factors of 260

The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260. In total, 260 has 12 factors. Its prime factorization is 2² × 5 × 13, and the sum of all its factors is 588.

All factors of 260

Here are all 12 factors of 260, listed from smallest to largest.

1245101320265265130260

Factor pairs of 260

These 6 pairs of whole numbers each multiply to give 260.

1 × 260 = 260
2 × 130 = 260
4 × 65 = 260
5 × 52 = 260
10 × 26 = 260
13 × 20 = 260

Prime factorization of 260

Dividing 260 by the smallest prime at each step gives its prime factorization:

260 ÷ 2 = 130
130 ÷ 2 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 260 = 2 × 2 × 5 × 13 = 2² × 5 × 13

The distinct prime factors of 260 are 2, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 260

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

Factor tree of 2602602130265513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 260

Number of factors12
Sum of factors588
Sum of proper factors328
Prime factorization2² × 5 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 260 interesting

  • 260 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 260 is an abundant number: its proper factors sum to 328, which is 68 more than 260 itself.
  • 260 has 3 distinct prime factors (2, 5, 13), which is why it has so many divisors.

How to find the factors of 260 yourself

Divide 260 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 √260 ≈ 16.12, because every factor above that pairs with one below it.

260 ÷ 1 = 260 ✓
260 ÷ 2 = 130 ✓
260 ÷ 4 = 65 ✓
260 ÷ 5 = 52 ✓
260 ÷ 10 = 26 ✓
260 ÷ 13 = 20 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. The factor calculator does this automatically for any number.

Numbers mathematically connected to 260.

Frequently asked questions about 260

What are the factors of 260?

The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260. That is 12 factors in total, counting both 1 and 260.

Is 260 a prime number?

No, 260 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 260 is also divisible by 2.

What is the prime factorization of 260?

The prime factorization of 260 is 2² × 5 × 13. Written out in full: 2 × 2 × 5 × 13 = 260. Its distinct prime factors are 2, 5, 13.

What two numbers multiply to give 260?

There are 6 pairs of whole numbers that multiply to 260: 1 × 260, 2 × 130, 4 × 65, 5 × 52, 10 × 26, 13 × 20.

What is the sum of the factors of 260?

Adding all the factors of 260 together gives 588. Excluding 260 itself, the proper factors sum to 328.

Is 260 a perfect square?

No, 260 is not a perfect square. There is no whole number that multiplies by itself to give 260. The nearest perfect squares are 256 and 289.

What is the largest factor of 260 other than itself?

The largest factor of 260 apart from 260 itself is 130, since 260 ÷ 130 = 2.

How many factors does 260 have?

260 has 12 factors: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, and 260. You can verify this from the prime factorization 2² × 5 × 13: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 260 down further with the prime factorization calculator, or compare 260 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.