Factor Calculator

Factors of 558

The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, and 558. In total, 558 has 12 factors. Its prime factorization is 2 × 3² × 31, and the sum of all its factors is 1248.

All factors of 558

Here are all 12 factors of 558, listed from smallest to largest.

1236918316293186279558

Factor pairs of 558

These 6 pairs of whole numbers each multiply to give 558.

1 × 558 = 558
2 × 279 = 558
3 × 186 = 558
6 × 93 = 558
9 × 62 = 558
18 × 31 = 558

Prime factorization of 558

Dividing 558 by the smallest prime at each step gives its prime factorization:

558 ÷ 2 = 279
279 ÷ 3 = 93
93 ÷ 3 = 31
31 ÷ 31 = 1
Result: 558 = 2 × 3 × 3 × 31 = 2 × 3² × 31

The distinct prime factors of 558 are 2, 3, 31. To factorize any other number, use the prime factorization calculator.

Factor tree of 558

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

Factor tree of 5585582279393331
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 558

Number of factors12
Sum of factors1248
Sum of proper factors690
Prime factorization2 × 3² × 31
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 558 interesting

  • 558 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.
  • 558 is an abundant number: its proper factors sum to 690, which is 132 more than 558 itself.
  • 558 has 3 distinct prime factors (2, 3, 31), which is why it has so many divisors.

How to find the factors of 558 yourself

Divide 558 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 √558 ≈ 23.62, because every factor above that pairs with one below it.

558 ÷ 1 = 558 ✓
558 ÷ 2 = 279 ✓
558 ÷ 3 = 186 ✓
558 ÷ 6 = 93 ✓
558 ÷ 9 = 62 ✓
558 ÷ 18 = 31 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558. The factor calculator does this automatically for any number.

Numbers mathematically connected to 558.

Frequently asked questions about 558

What are the factors of 558?

The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, and 558. That is 12 factors in total, counting both 1 and 558.

Is 558 a prime number?

No, 558 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 558 is also divisible by 2.

What is the prime factorization of 558?

The prime factorization of 558 is 2 × 3² × 31. Written out in full: 2 × 3 × 3 × 31 = 558. Its distinct prime factors are 2, 3, 31.

What two numbers multiply to give 558?

There are 6 pairs of whole numbers that multiply to 558: 1 × 558, 2 × 279, 3 × 186, 6 × 93, 9 × 62, 18 × 31.

What is the sum of the factors of 558?

Adding all the factors of 558 together gives 1248. Excluding 558 itself, the proper factors sum to 690.

Is 558 a perfect square?

No, 558 is not a perfect square. There is no whole number that multiplies by itself to give 558. The nearest perfect squares are 529 and 576.

What is the largest factor of 558 other than itself?

The largest factor of 558 apart from 558 itself is 279, since 558 ÷ 279 = 2.

How many factors does 558 have?

558 has 12 factors: 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, and 558. You can verify this from the prime factorization 2 × 3² × 31: add 1 to each exponent and multiply, giving 2 × 3 × 2 = 12.

Explore more

Try another number in the factor calculator, break 558 down further with the prime factorization calculator, or compare 558 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.