Factor Calculator

Factors of 584

The factors of 584 are 1, 2, 4, 8, 73, 146, 292, and 584. In total, 584 has 8 factors. Its prime factorization is 2³ × 73, and the sum of all its factors is 1110.

All factors of 584

Here are all 8 factors of 584, listed from smallest to largest.

124873146292584

Factor pairs of 584

These 4 pairs of whole numbers each multiply to give 584.

1 × 584 = 584
2 × 292 = 584
4 × 146 = 584
8 × 73 = 584

Prime factorization of 584

Dividing 584 by the smallest prime at each step gives its prime factorization:

584 ÷ 2 = 292
292 ÷ 2 = 146
146 ÷ 2 = 73
73 ÷ 73 = 1
Result: 584 = 2 × 2 × 2 × 73 = 2³ × 73

The distinct prime factors of 584 are 2, 73. To factorize any other number, use the prime factorization calculator.

Factor tree of 584

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

Factor tree of 58458422922146273
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 584

Number of factors8
Sum of factors1110
Sum of proper factors526
Prime factorization2³ × 73
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 584 interesting

  • 584 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 584 is a deficient number: its proper factors sum to 526, which is 58 less than 584 itself.

How to find the factors of 584 yourself

Divide 584 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 √58424.17, because every factor above that pairs with one below it.

584 ÷ 1 = 584
584 ÷ 2 = 292
584 ÷ 4 = 146
584 ÷ 8 = 73

Reading both columns gives every factor: 1, 2, 4, 8, 73, 146, 292, 584. The factor calculator does this automatically for any number.

Frequently asked questions about 584

What are the factors of 584?

The factors of 584 are 1, 2, 4, 8, 73, 146, 292, and 584. That is 8 factors in total, counting both 1 and 584.

Is 584 a prime number?

No, 584 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 584 is also divisible by 2.

What is the prime factorization of 584?

The prime factorization of 584 is 2³ × 73. Written out in full: 2 × 2 × 2 × 73 = 584. Its distinct prime factors are 2, 73.

What two numbers multiply to give 584?

There are 4 pairs of whole numbers that multiply to 584: 1 × 584, 2 × 292, 4 × 146, 8 × 73.

What is the sum of the factors of 584?

Adding all the factors of 584 together gives 1110. Excluding 584 itself, the proper factors sum to 526.

Is 584 a perfect square?

No, 584 is not a perfect square. There is no whole number that multiplies by itself to give 584. The nearest perfect squares are 576 and 625.

What is the largest factor of 584 other than itself?

The largest factor of 584 apart from 584 itself is 292, since 584 ÷ 292 = 2.

How many factors does 584 have?

584 has 8 factors: 1, 2, 4, 8, 73, 146, 292, and 584. You can verify this from the prime factorization 2³ × 73: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 584 down further with the prime factorization calculator, or compare 584 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.