Factor Calculator

Factors of 384

The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384. In total, 384 has 16 factors. Its prime factorization is 2⁷ × 3, and the sum of all its factors is 1020.

All factors of 384

Here are all 16 factors of 384, listed from smallest to largest.

12346812162432486496128192384

Factor pairs of 384

These 8 pairs of whole numbers each multiply to give 384.

1 × 384 = 384
2 × 192 = 384
3 × 128 = 384
4 × 96 = 384
6 × 64 = 384
8 × 48 = 384
12 × 32 = 384
16 × 24 = 384

Prime factorization of 384

Dividing 384 by the smallest prime at each step gives its prime factorization:

384 ÷ 2 = 192
192 ÷ 2 = 96
96 ÷ 2 = 48
48 ÷ 2 = 24
24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3
3 ÷ 3 = 1
Result: 384 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 = 2⁷ × 3

The distinct prime factors of 384 are 2, 3. To factorize any other number, use the prime factorization calculator.

Factor tree of 384

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

Factor tree of 38438421922962482242122623
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 384

Number of factors16
Sum of factors1020
Sum of proper factors636
Prime factorization2⁷ × 3
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 384 interesting

  • 384 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 384 is an abundant number: its proper factors sum to 636, which is 252 more than 384 itself.

How to find the factors of 384 yourself

Divide 384 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 √384 ≈ 19.60, because every factor above that pairs with one below it.

384 ÷ 1 = 384 ✓
384 ÷ 2 = 192 ✓
384 ÷ 3 = 128 ✓
384 ÷ 4 = 96 ✓
384 ÷ 6 = 64 ✓
384 ÷ 8 = 48 ✓
384 ÷ 12 = 32 ✓
384 ÷ 16 = 24 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. The factor calculator does this automatically for any number.

Numbers mathematically connected to 384.

Frequently asked questions about 384

What are the factors of 384?

The factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384. That is 16 factors in total, counting both 1 and 384.

Is 384 a prime number?

No, 384 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 384 is also divisible by 2.

What is the prime factorization of 384?

The prime factorization of 384 is 2⁷ × 3. Written out in full: 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 = 384. Its distinct prime factors are 2, 3.

What two numbers multiply to give 384?

There are 8 pairs of whole numbers that multiply to 384: 1 × 384, 2 × 192, 3 × 128, 4 × 96, 6 × 64, 8 × 48, 12 × 32, 16 × 24.

What is the sum of the factors of 384?

Adding all the factors of 384 together gives 1020. Excluding 384 itself, the proper factors sum to 636.

Is 384 a perfect square?

No, 384 is not a perfect square. There is no whole number that multiplies by itself to give 384. The nearest perfect squares are 361 and 400.

What is the largest factor of 384 other than itself?

The largest factor of 384 apart from 384 itself is 192, since 384 ÷ 192 = 2.

How many factors does 384 have?

384 has 16 factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, and 384. You can verify this from the prime factorization 2⁷ × 3: add 1 to each exponent and multiply, giving 8 × 2 = 16.

Explore more

Try another number in the factor calculator, break 384 down further with the prime factorization calculator, or compare 384 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.