Factor Calculator

Factors of 559

The factors of 559 are 1, 13, 43, and 559. In total, 559 has 4 factors. Its prime factorization is 13 × 43, and the sum of all its factors is 616.

All factors of 559

Here are all 4 factors of 559, listed from smallest to largest.

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Factor pairs of 559

These 2 pairs of whole numbers each multiply to give 559.

1 × 559 = 559
13 × 43 = 559

Prime factorization of 559

Dividing 559 by the smallest prime at each step gives its prime factorization:

559 ÷ 13 = 43
43 ÷ 43 = 1
Result: 559 = 13 × 43 = 13 × 43

The distinct prime factors of 559 are 13, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 559

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

Factor tree of 5595591343
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 559

Number of factors4
Sum of factors616
Sum of proper factors57
Prime factorization13 × 43
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 559 interesting

  • 559 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.
  • 559 is a deficient number: its proper factors sum to 57, which is 502 less than 559 itself.

How to find the factors of 559 yourself

Divide 559 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 √559 ≈ 23.64, because every factor above that pairs with one below it.

559 ÷ 1 = 559 ✓
559 ÷ 13 = 43 ✓

Reading both columns gives every factor: 1, 13, 43, 559. The factor calculator does this automatically for any number.

Numbers mathematically connected to 559.

Frequently asked questions about 559

What are the factors of 559?

The factors of 559 are 1, 13, 43, and 559. That is 4 factors in total, counting both 1 and 559.

Is 559 a prime number?

No, 559 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 559 is also divisible by 13.

What is the prime factorization of 559?

The prime factorization of 559 is 13 × 43. Written out in full: 13 × 43 = 559. Its distinct prime factors are 13, 43.

What two numbers multiply to give 559?

There are 2 pairs of whole numbers that multiply to 559: 1 × 559, 13 × 43.

What is the sum of the factors of 559?

Adding all the factors of 559 together gives 616. Excluding 559 itself, the proper factors sum to 57.

Is 559 a perfect square?

No, 559 is not a perfect square. There is no whole number that multiplies by itself to give 559. The nearest perfect squares are 529 and 576.

What is the largest factor of 559 other than itself?

The largest factor of 559 apart from 559 itself is 43, since 559 ÷ 43 = 13.

How many factors does 559 have?

559 has 4 factors: 1, 13, 43, and 559. You can verify this from the prime factorization 13 × 43: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 559 down further with the prime factorization calculator, or compare 559 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.