Factor Calculator

Factors of 592

The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, and 592. In total, 592 has 10 factors. Its prime factorization is 2⁴ × 37, and the sum of all its factors is 1178.

All factors of 592

Here are all 10 factors of 592, listed from smallest to largest.

1248163774148296592

Factor pairs of 592

These 5 pairs of whole numbers each multiply to give 592.

1 × 592 = 592
2 × 296 = 592
4 × 148 = 592
8 × 74 = 592
16 × 37 = 592

Prime factorization of 592

Dividing 592 by the smallest prime at each step gives its prime factorization:

592 ÷ 2 = 296
296 ÷ 2 = 148
148 ÷ 2 = 74
74 ÷ 2 = 37
37 ÷ 37 = 1
Result: 592 = 2 × 2 × 2 × 2 × 37 = 2⁴ × 37

The distinct prime factors of 592 are 2, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 592

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

Factor tree of 59259222962148274237
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 592

Number of factors10
Sum of factors1178
Sum of proper factors586
Prime factorization2⁴ × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 592 interesting

  • 592 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 592 is a deficient number: its proper factors sum to 586, which is 6 less than 592 itself.

How to find the factors of 592 yourself

Divide 592 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 √592 ≈ 24.33, because every factor above that pairs with one below it.

592 ÷ 1 = 592 ✓
592 ÷ 2 = 296 ✓
592 ÷ 4 = 148 ✓
592 ÷ 8 = 74 ✓
592 ÷ 16 = 37 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 37, 74, 148, 296, 592. The factor calculator does this automatically for any number.

Numbers mathematically connected to 592.

Frequently asked questions about 592

What are the factors of 592?

The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, and 592. That is 10 factors in total, counting both 1 and 592.

Is 592 a prime number?

No, 592 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 592 is also divisible by 2.

What is the prime factorization of 592?

The prime factorization of 592 is 2⁴ × 37. Written out in full: 2 × 2 × 2 × 2 × 37 = 592. Its distinct prime factors are 2, 37.

What two numbers multiply to give 592?

There are 5 pairs of whole numbers that multiply to 592: 1 × 592, 2 × 296, 4 × 148, 8 × 74, 16 × 37.

What is the sum of the factors of 592?

Adding all the factors of 592 together gives 1178. Excluding 592 itself, the proper factors sum to 586.

Is 592 a perfect square?

No, 592 is not a perfect square. There is no whole number that multiplies by itself to give 592. The nearest perfect squares are 576 and 625.

What is the largest factor of 592 other than itself?

The largest factor of 592 apart from 592 itself is 296, since 592 ÷ 296 = 2.

How many factors does 592 have?

592 has 10 factors: 1, 2, 4, 8, 16, 37, 74, 148, 296, and 592. You can verify this from the prime factorization 2⁴ × 37: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 592 down further with the prime factorization calculator, or compare 592 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.