Factor Calculator

Factors of 520

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, and 520. In total, 520 has 16 factors. Its prime factorization is 2³ × 5 × 13, and the sum of all its factors is 1260.

All factors of 520

Here are all 16 factors of 520, listed from smallest to largest.

1245810132026405265104130260520

Factor pairs of 520

These 8 pairs of whole numbers each multiply to give 520.

1 × 520 = 520
2 × 260 = 520
4 × 130 = 520
5 × 104 = 520
8 × 65 = 520
10 × 52 = 520
13 × 40 = 520
20 × 26 = 520

Prime factorization of 520

Dividing 520 by the smallest prime at each step gives its prime factorization:

520 ÷ 2 = 260
260 ÷ 2 = 130
130 ÷ 2 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1
Result: 520 = 2 × 2 × 2 × 5 × 13 = 2³ × 5 × 13

The distinct prime factors of 520 are 2, 5, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 520

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

Factor tree of 52052022602130265513
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 520

Number of factors16
Sum of factors1260
Sum of proper factors740
Prime factorization2³ × 5 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 520 interesting

  • 520 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 520 is an abundant number: its proper factors sum to 740, which is 220 more than 520 itself.
  • 520 has 3 distinct prime factors (2, 5, 13), which is why it has so many divisors.

How to find the factors of 520 yourself

Divide 520 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 √520 ≈ 22.80, because every factor above that pairs with one below it.

520 ÷ 1 = 520 ✓
520 ÷ 2 = 260 ✓
520 ÷ 4 = 130 ✓
520 ÷ 5 = 104 ✓
520 ÷ 8 = 65 ✓
520 ÷ 10 = 52 ✓
520 ÷ 13 = 40 ✓
520 ÷ 20 = 26 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520. The factor calculator does this automatically for any number.

Numbers mathematically connected to 520.

Frequently asked questions about 520

What are the factors of 520?

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, and 520. That is 16 factors in total, counting both 1 and 520.

Is 520 a prime number?

No, 520 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 520 is also divisible by 2.

What is the prime factorization of 520?

The prime factorization of 520 is 2³ × 5 × 13. Written out in full: 2 × 2 × 2 × 5 × 13 = 520. Its distinct prime factors are 2, 5, 13.

What two numbers multiply to give 520?

There are 8 pairs of whole numbers that multiply to 520: 1 × 520, 2 × 260, 4 × 130, 5 × 104, 8 × 65, 10 × 52, 13 × 40, 20 × 26.

What is the sum of the factors of 520?

Adding all the factors of 520 together gives 1260. Excluding 520 itself, the proper factors sum to 740.

Is 520 a perfect square?

No, 520 is not a perfect square. There is no whole number that multiplies by itself to give 520. The nearest perfect squares are 484 and 529.

What is the largest factor of 520 other than itself?

The largest factor of 520 apart from 520 itself is 260, since 520 ÷ 260 = 2.

How many factors does 520 have?

520 has 16 factors: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, and 520. You can verify this from the prime factorization 2³ × 5 × 13: add 1 to each exponent and multiply, giving 4 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 520 down further with the prime factorization calculator, or compare 520 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.