Factor Calculator

Factors of 578

The factors of 578 are 1, 2, 17, 34, 289, and 578. In total, 578 has 6 factors. Its prime factorization is 2 × 17², and the sum of all its factors is 921.

All factors of 578

Here are all 6 factors of 578, listed from smallest to largest.

121734289578

Factor pairs of 578

These 3 pairs of whole numbers each multiply to give 578.

1 × 578 = 578
2 × 289 = 578
17 × 34 = 578

Prime factorization of 578

Dividing 578 by the smallest prime at each step gives its prime factorization:

578 ÷ 2 = 289
289 ÷ 17 = 17
17 ÷ 17 = 1
Result: 578 = 2 × 17 × 17 = 2 × 17²

The distinct prime factors of 578 are 2, 17. To factorize any other number, use the prime factorization calculator.

Factor tree of 578

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

Factor tree of 57857822891717
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 578

Number of factors6
Sum of factors921
Sum of proper factors343
Prime factorization2 × 17²
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 578 interesting

  • 578 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 578 is a deficient number: its proper factors sum to 343, which is 235 less than 578 itself.

How to find the factors of 578 yourself

Divide 578 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 √57824.04, because every factor above that pairs with one below it.

578 ÷ 1 = 578
578 ÷ 2 = 289
578 ÷ 17 = 34

Reading both columns gives every factor: 1, 2, 17, 34, 289, 578. The factor calculator does this automatically for any number.

Frequently asked questions about 578

What are the factors of 578?

The factors of 578 are 1, 2, 17, 34, 289, and 578. That is 6 factors in total, counting both 1 and 578.

Is 578 a prime number?

No, 578 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 578 is also divisible by 2.

What is the prime factorization of 578?

The prime factorization of 578 is 2 × 17². Written out in full: 2 × 17 × 17 = 578. Its distinct prime factors are 2, 17.

What two numbers multiply to give 578?

There are 3 pairs of whole numbers that multiply to 578: 1 × 578, 2 × 289, 17 × 34.

What is the sum of the factors of 578?

Adding all the factors of 578 together gives 921. Excluding 578 itself, the proper factors sum to 343.

Is 578 a perfect square?

No, 578 is not a perfect square. There is no whole number that multiplies by itself to give 578. The nearest perfect squares are 576 and 625.

What is the largest factor of 578 other than itself?

The largest factor of 578 apart from 578 itself is 289, since 578 ÷ 289 = 2.

How many factors does 578 have?

578 has 6 factors: 1, 2, 17, 34, 289, and 578. You can verify this from the prime factorization 2 × 17²: add 1 to each exponent and multiply, giving 2 × 3 = 6.

Explore more

Try another number in the factor calculator, break 578 down further with the prime factorization calculator, or compare 578 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.