Factor Calculator

Factors of 590

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, and 590. In total, 590 has 8 factors. Its prime factorization is 2 × 5 × 59, and the sum of all its factors is 1080.

All factors of 590

Here are all 8 factors of 590, listed from smallest to largest.

1251059118295590

Factor pairs of 590

These 4 pairs of whole numbers each multiply to give 590.

1 × 590 = 590
2 × 295 = 590
5 × 118 = 590
10 × 59 = 590

Prime factorization of 590

Dividing 590 by the smallest prime at each step gives its prime factorization:

590 ÷ 2 = 295
295 ÷ 5 = 59
59 ÷ 59 = 1
Result: 590 = 2 × 5 × 59 = 2 × 5 × 59

The distinct prime factors of 590 are 2, 5, 59. To factorize any other number, use the prime factorization calculator.

Factor tree of 590

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

Factor tree of 5905902295559
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 590

Number of factors8
Sum of factors1080
Sum of proper factors490
Prime factorization2 × 5 × 59
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 590 interesting

  • 590 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 590 is a deficient number: its proper factors sum to 490, which is 100 less than 590 itself.
  • 590 has 3 distinct prime factors (2, 5, 59), which is why it has so many divisors.

How to find the factors of 590 yourself

Divide 590 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 √59024.29, because every factor above that pairs with one below it.

590 ÷ 1 = 590
590 ÷ 2 = 295
590 ÷ 5 = 118
590 ÷ 10 = 59

Reading both columns gives every factor: 1, 2, 5, 10, 59, 118, 295, 590. The factor calculator does this automatically for any number.

Frequently asked questions about 590

What are the factors of 590?

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, and 590. That is 8 factors in total, counting both 1 and 590.

Is 590 a prime number?

No, 590 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 590 is also divisible by 2.

What is the prime factorization of 590?

The prime factorization of 590 is 2 × 5 × 59. Written out in full: 2 × 5 × 59 = 590. Its distinct prime factors are 2, 5, 59.

What two numbers multiply to give 590?

There are 4 pairs of whole numbers that multiply to 590: 1 × 590, 2 × 295, 5 × 118, 10 × 59.

What is the sum of the factors of 590?

Adding all the factors of 590 together gives 1080. Excluding 590 itself, the proper factors sum to 490.

Is 590 a perfect square?

No, 590 is not a perfect square. There is no whole number that multiplies by itself to give 590. The nearest perfect squares are 576 and 625.

What is the largest factor of 590 other than itself?

The largest factor of 590 apart from 590 itself is 295, since 590 ÷ 295 = 2.

How many factors does 590 have?

590 has 8 factors: 1, 2, 5, 10, 59, 118, 295, and 590. You can verify this from the prime factorization 2 × 5 × 59: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 590 down further with the prime factorization calculator, or compare 590 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.