Factor Calculator

Factors of 580

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, and 580. In total, 580 has 12 factors. Its prime factorization is 2² × 5 × 29, and the sum of all its factors is 1260.

All factors of 580

Here are all 12 factors of 580, listed from smallest to largest.

124510202958116145290580

Factor pairs of 580

These 6 pairs of whole numbers each multiply to give 580.

1 × 580 = 580
2 × 290 = 580
4 × 145 = 580
5 × 116 = 580
10 × 58 = 580
20 × 29 = 580

Prime factorization of 580

Dividing 580 by the smallest prime at each step gives its prime factorization:

580 ÷ 2 = 290
290 ÷ 2 = 145
145 ÷ 5 = 29
29 ÷ 29 = 1
Result: 580 = 2 × 2 × 5 × 29 = 2² × 5 × 29

The distinct prime factors of 580 are 2, 5, 29. To factorize any other number, use the prime factorization calculator.

Factor tree of 580

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

Factor tree of 58058022902145529
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 580

Number of factors12
Sum of factors1260
Sum of proper factors680
Prime factorization2² × 5 × 29
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 580 interesting

  • 580 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.
  • 580 is an abundant number: its proper factors sum to 680, which is 100 more than 580 itself.
  • 580 has 3 distinct prime factors (2, 5, 29), which is why it has so many divisors.

How to find the factors of 580 yourself

Divide 580 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 √580 ≈ 24.08, because every factor above that pairs with one below it.

580 ÷ 1 = 580 ✓
580 ÷ 2 = 290 ✓
580 ÷ 4 = 145 ✓
580 ÷ 5 = 116 ✓
580 ÷ 10 = 58 ✓
580 ÷ 20 = 29 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. The factor calculator does this automatically for any number.

Numbers mathematically connected to 580.

Frequently asked questions about 580

What are the factors of 580?

The factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, and 580. That is 12 factors in total, counting both 1 and 580.

Is 580 a prime number?

No, 580 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 580 is also divisible by 2.

What is the prime factorization of 580?

The prime factorization of 580 is 2² × 5 × 29. Written out in full: 2 × 2 × 5 × 29 = 580. Its distinct prime factors are 2, 5, 29.

What two numbers multiply to give 580?

There are 6 pairs of whole numbers that multiply to 580: 1 × 580, 2 × 290, 4 × 145, 5 × 116, 10 × 58, 20 × 29.

What is the sum of the factors of 580?

Adding all the factors of 580 together gives 1260. Excluding 580 itself, the proper factors sum to 680.

Is 580 a perfect square?

No, 580 is not a perfect square. There is no whole number that multiplies by itself to give 580. The nearest perfect squares are 576 and 625.

What is the largest factor of 580 other than itself?

The largest factor of 580 apart from 580 itself is 290, since 580 ÷ 290 = 2.

How many factors does 580 have?

580 has 12 factors: 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, and 580. You can verify this from the prime factorization 2² × 5 × 29: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 580 down further with the prime factorization calculator, or compare 580 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.