Factor Calculator

Factors of 320

The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320. In total, 320 has 14 factors. Its prime factorization is 2⁶ × 5, and the sum of all its factors is 762.

All factors of 320

Here are all 14 factors of 320, listed from smallest to largest.

1245810162032406480160320

Factor pairs of 320

These 7 pairs of whole numbers each multiply to give 320.

1 × 320 = 320
2 × 160 = 320
4 × 80 = 320
5 × 64 = 320
8 × 40 = 320
10 × 32 = 320
16 × 20 = 320

Prime factorization of 320

Dividing 320 by the smallest prime at each step gives its prime factorization:

320 ÷ 2 = 160
160 ÷ 2 = 80
80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1
Result: 320 = 2 × 2 × 2 × 2 × 2 × 2 × 5 = 2⁶ × 5

The distinct prime factors of 320 are 2, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 320

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

Factor tree of 320320216028024022021025
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 320

Number of factors14
Sum of factors762
Sum of proper factors442
Prime factorization2⁶ × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 320 interesting

  • 320 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 7 different ways.
  • 320 is an abundant number: its proper factors sum to 442, which is 122 more than 320 itself.

How to find the factors of 320 yourself

Divide 320 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 √320 ≈ 17.89, because every factor above that pairs with one below it.

320 ÷ 1 = 320 ✓
320 ÷ 2 = 160 ✓
320 ÷ 4 = 80 ✓
320 ÷ 5 = 64 ✓
320 ÷ 8 = 40 ✓
320 ÷ 10 = 32 ✓
320 ÷ 16 = 20 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. The factor calculator does this automatically for any number.

Numbers mathematically connected to 320.

Frequently asked questions about 320

What are the factors of 320?

The factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320. That is 14 factors in total, counting both 1 and 320.

Is 320 a prime number?

No, 320 is not prime — it is a composite number with 14 factors. A prime number has exactly two factors, but 320 is also divisible by 2.

What is the prime factorization of 320?

The prime factorization of 320 is 2⁶ × 5. Written out in full: 2 × 2 × 2 × 2 × 2 × 2 × 5 = 320. Its distinct prime factors are 2, 5.

What two numbers multiply to give 320?

There are 7 pairs of whole numbers that multiply to 320: 1 × 320, 2 × 160, 4 × 80, 5 × 64, 8 × 40, 10 × 32, 16 × 20.

What is the sum of the factors of 320?

Adding all the factors of 320 together gives 762. Excluding 320 itself, the proper factors sum to 442.

Is 320 a perfect square?

No, 320 is not a perfect square. There is no whole number that multiplies by itself to give 320. The nearest perfect squares are 289 and 324.

What is the largest factor of 320 other than itself?

The largest factor of 320 apart from 320 itself is 160, since 320 ÷ 160 = 2.

How many factors does 320 have?

320 has 14 factors: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, and 320. You can verify this from the prime factorization 2⁶ × 5: add 1 to each exponent and multiply, giving 7 × 2 = 14.

Explore more

Try another number in the factor calculator, break 320 down further with the prime factorization calculator, or compare 320 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.