Factor Calculator

Factors of 304

The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, and 304. In total, 304 has 10 factors. Its prime factorization is 2⁴ × 19, and the sum of all its factors is 620.

All factors of 304

Here are all 10 factors of 304, listed from smallest to largest.

124816193876152304

Factor pairs of 304

These 5 pairs of whole numbers each multiply to give 304.

1 × 304 = 304
2 × 152 = 304
4 × 76 = 304
8 × 38 = 304
16 × 19 = 304

Prime factorization of 304

Dividing 304 by the smallest prime at each step gives its prime factorization:

304 ÷ 2 = 152
152 ÷ 2 = 76
76 ÷ 2 = 38
38 ÷ 2 = 19
19 ÷ 19 = 1
Result: 304 = 2 × 2 × 2 × 2 × 19 = 2⁴ × 19

The distinct prime factors of 304 are 2, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 304

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

Factor tree of 3043042152276238219
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 304

Number of factors10
Sum of factors620
Sum of proper factors316
Prime factorization2⁴ × 19
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 304 interesting

  • 304 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.
  • 304 is an abundant number: its proper factors sum to 316, which is 12 more than 304 itself.

How to find the factors of 304 yourself

Divide 304 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 √304 ≈ 17.44, because every factor above that pairs with one below it.

304 ÷ 1 = 304 ✓
304 ÷ 2 = 152 ✓
304 ÷ 4 = 76 ✓
304 ÷ 8 = 38 ✓
304 ÷ 16 = 19 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 16, 19, 38, 76, 152, 304. The factor calculator does this automatically for any number.

Numbers mathematically connected to 304.

Frequently asked questions about 304

What are the factors of 304?

The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, and 304. That is 10 factors in total, counting both 1 and 304.

Is 304 a prime number?

No, 304 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 304 is also divisible by 2.

What is the prime factorization of 304?

The prime factorization of 304 is 2⁴ × 19. Written out in full: 2 × 2 × 2 × 2 × 19 = 304. Its distinct prime factors are 2, 19.

What two numbers multiply to give 304?

There are 5 pairs of whole numbers that multiply to 304: 1 × 304, 2 × 152, 4 × 76, 8 × 38, 16 × 19.

What is the sum of the factors of 304?

Adding all the factors of 304 together gives 620. Excluding 304 itself, the proper factors sum to 316.

Is 304 a perfect square?

No, 304 is not a perfect square. There is no whole number that multiplies by itself to give 304. The nearest perfect squares are 289 and 324.

What is the largest factor of 304 other than itself?

The largest factor of 304 apart from 304 itself is 152, since 304 ÷ 152 = 2.

How many factors does 304 have?

304 has 10 factors: 1, 2, 4, 8, 16, 19, 38, 76, 152, and 304. You can verify this from the prime factorization 2⁴ × 19: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 304 down further with the prime factorization calculator, or compare 304 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.