Factor Calculator

Factors of 591

The factors of 591 are 1, 3, 197, and 591. In total, 591 has 4 factors. Its prime factorization is 3 × 197, and the sum of all its factors is 792.

All factors of 591

Here are all 4 factors of 591, listed from smallest to largest.

13197591

Factor pairs of 591

These 2 pairs of whole numbers each multiply to give 591.

1 × 591 = 591
3 × 197 = 591

Prime factorization of 591

Dividing 591 by the smallest prime at each step gives its prime factorization:

591 ÷ 3 = 197
197 ÷ 197 = 1
Result: 591 = 3 × 197 = 3 × 197

The distinct prime factors of 591 are 3, 197. To factorize any other number, use the prime factorization calculator.

Factor tree of 591

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

Factor tree of 5915913197
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 591

Number of factors4
Sum of factors792
Sum of proper factors201
Prime factorization3 × 197
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 591 interesting

  • 591 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 591 is a deficient number: its proper factors sum to 201, which is 390 less than 591 itself.

How to find the factors of 591 yourself

Divide 591 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 √59124.31, because every factor above that pairs with one below it.

591 ÷ 1 = 591
591 ÷ 3 = 197

Reading both columns gives every factor: 1, 3, 197, 591. The factor calculator does this automatically for any number.

Frequently asked questions about 591

What are the factors of 591?

The factors of 591 are 1, 3, 197, and 591. That is 4 factors in total, counting both 1 and 591.

Is 591 a prime number?

No, 591 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 591 is also divisible by 3.

What is the prime factorization of 591?

The prime factorization of 591 is 3 × 197. Written out in full: 3 × 197 = 591. Its distinct prime factors are 3, 197.

What two numbers multiply to give 591?

There are 2 pairs of whole numbers that multiply to 591: 1 × 591, 3 × 197.

What is the sum of the factors of 591?

Adding all the factors of 591 together gives 792. Excluding 591 itself, the proper factors sum to 201.

Is 591 a perfect square?

No, 591 is not a perfect square. There is no whole number that multiplies by itself to give 591. The nearest perfect squares are 576 and 625.

What is the largest factor of 591 other than itself?

The largest factor of 591 apart from 591 itself is 197, since 591 ÷ 197 = 3.

How many factors does 591 have?

591 has 4 factors: 1, 3, 197, and 591. You can verify this from the prime factorization 3 × 197: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 591 down further with the prime factorization calculator, or compare 591 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.