Factor Calculator

Factors of 500

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500. In total, 500 has 12 factors. Its prime factorization is 2² × 5³, and the sum of all its factors is 1092.

All factors of 500

Here are all 12 factors of 500, listed from smallest to largest.

124510202550100125250500

Factor pairs of 500

These 6 pairs of whole numbers each multiply to give 500.

1 × 500 = 500
2 × 250 = 500
4 × 125 = 500
5 × 100 = 500
10 × 50 = 500
20 × 25 = 500

Prime factorization of 500

Dividing 500 by the smallest prime at each step gives its prime factorization:

500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Result: 500 = 2 × 2 × 5 × 5 × 5 = 2² × 5³

The distinct prime factors of 500 are 2, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 500

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

Factor tree of 5005002250212552555
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 500

Number of factors12
Sum of factors1092
Sum of proper factors592
Prime factorization2² × 5³
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 500 interesting

  • 500 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.
  • 500 is an abundant number: its proper factors sum to 592, which is 92 more than 500 itself.

How to find the factors of 500 yourself

Divide 500 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 √500 ≈ 22.36, because every factor above that pairs with one below it.

500 ÷ 1 = 500 ✓
500 ÷ 2 = 250 ✓
500 ÷ 4 = 125 ✓
500 ÷ 5 = 100 ✓
500 ÷ 10 = 50 ✓
500 ÷ 20 = 25 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. The factor calculator does this automatically for any number.

Numbers mathematically connected to 500.

Frequently asked questions about 500

What are the factors of 500?

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500. That is 12 factors in total, counting both 1 and 500.

Is 500 a prime number?

No, 500 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 500 is also divisible by 2.

What is the prime factorization of 500?

The prime factorization of 500 is 2² × 5³. Written out in full: 2 × 2 × 5 × 5 × 5 = 500. Its distinct prime factors are 2, 5.

What two numbers multiply to give 500?

There are 6 pairs of whole numbers that multiply to 500: 1 × 500, 2 × 250, 4 × 125, 5 × 100, 10 × 50, 20 × 25.

What is the sum of the factors of 500?

Adding all the factors of 500 together gives 1092. Excluding 500 itself, the proper factors sum to 592.

Is 500 a perfect square?

No, 500 is not a perfect square. There is no whole number that multiplies by itself to give 500. The nearest perfect squares are 484 and 529.

What is the largest factor of 500 other than itself?

The largest factor of 500 apart from 500 itself is 250, since 500 ÷ 250 = 2.

How many factors does 500 have?

500 has 12 factors: 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500. You can verify this from the prime factorization 2² × 5³: add 1 to each exponent and multiply, giving 3 × 4 = 12.

Explore more

Try another number in the factor calculator, break 500 down further with the prime factorization calculator, or compare 500 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.