Factor Calculator

Factors of 588

The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, and 588. In total, 588 has 18 factors. Its prime factorization is 2² × 3 × 7², and the sum of all its factors is 1596.

All factors of 588

Here are all 18 factors of 588, listed from smallest to largest.

1234671214212842498498147196294588

Factor pairs of 588

These 9 pairs of whole numbers each multiply to give 588.

1 × 588 = 588
2 × 294 = 588
3 × 196 = 588
4 × 147 = 588
6 × 98 = 588
7 × 84 = 588
12 × 49 = 588
14 × 42 = 588
21 × 28 = 588

Prime factorization of 588

Dividing 588 by the smallest prime at each step gives its prime factorization:

588 ÷ 2 = 294
294 ÷ 2 = 147
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Result: 588 = 2 × 2 × 3 × 7 × 7 = 2² × 3 × 7²

The distinct prime factors of 588 are 2, 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 588

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

Factor tree of 5885882294214734977
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 588

Number of factors18
Sum of factors1596
Sum of proper factors1008
Prime factorization2² × 3 × 7²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 588 interesting

  • 588 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 9 different ways.
  • 588 is an abundant number: its proper factors sum to 1008, which is 420 more than 588 itself.
  • 588 has 3 distinct prime factors (2, 3, 7), which is why it has so many divisors.

How to find the factors of 588 yourself

Divide 588 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 √58824.25, because every factor above that pairs with one below it.

588 ÷ 1 = 588
588 ÷ 2 = 294
588 ÷ 3 = 196
588 ÷ 4 = 147
588 ÷ 6 = 98
588 ÷ 7 = 84
588 ÷ 12 = 49
588 ÷ 14 = 42
588 ÷ 21 = 28

Reading both columns gives every factor: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. The factor calculator does this automatically for any number.

Frequently asked questions about 588

What are the factors of 588?

The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, and 588. That is 18 factors in total, counting both 1 and 588.

Is 588 a prime number?

No, 588 is not prime — it is a composite number with 18 factors. A prime number has exactly two factors, but 588 is also divisible by 2.

What is the prime factorization of 588?

The prime factorization of 588 is 2² × 3 × 7². Written out in full: 2 × 2 × 3 × 7 × 7 = 588. Its distinct prime factors are 2, 3, 7.

What two numbers multiply to give 588?

There are 9 pairs of whole numbers that multiply to 588: 1 × 588, 2 × 294, 3 × 196, 4 × 147, 6 × 98, 7 × 84, 12 × 49, 14 × 42, 21 × 28.

What is the sum of the factors of 588?

Adding all the factors of 588 together gives 1596. Excluding 588 itself, the proper factors sum to 1008.

Is 588 a perfect square?

No, 588 is not a perfect square. There is no whole number that multiplies by itself to give 588. The nearest perfect squares are 576 and 625.

What is the largest factor of 588 other than itself?

The largest factor of 588 apart from 588 itself is 294, since 588 ÷ 294 = 2.

How many factors does 588 have?

588 has 18 factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, and 588. You can verify this from the prime factorization 2² × 3 × 7²: add 1 to each exponent and multiply, giving 3 × 2 × 3 = 18.

Explore more

Try another number in the factor calculator, break 588 down further with the prime factorization calculator, or compare 588 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.