Factor Calculator

Factors of 480

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, and 480. In total, 480 has 24 factors. Its prime factorization is 2⁵ × 3 × 5, and the sum of all its factors is 1512.

All factors of 480

Here are all 24 factors of 480, listed from smallest to largest.

123456810121516202430324048608096120160240480

Factor pairs of 480

These 12 pairs of whole numbers each multiply to give 480.

1 × 480 = 480
2 × 240 = 480
3 × 160 = 480
4 × 120 = 480
5 × 96 = 480
6 × 80 = 480
8 × 60 = 480
10 × 48 = 480
12 × 40 = 480
15 × 32 = 480
16 × 30 = 480
20 × 24 = 480

Prime factorization of 480

Dividing 480 by the smallest prime at each step gives its prime factorization:

480 ÷ 2 = 240
240 ÷ 2 = 120
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Result: 480 = 2 × 2 × 2 × 2 × 2 × 3 × 5 = 2⁵ × 3 × 5

The distinct prime factors of 480 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 480

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

Factor tree of 4804802240212026023021535
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 480

Number of factors24
Sum of factors1512
Sum of proper factors1032
Prime factorization2⁵ × 3 × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 480 interesting

  • 480 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
  • 480 is an abundant number: its proper factors sum to 1032, which is 552 more than 480 itself.
  • 480 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 480 yourself

Divide 480 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 √480 ≈ 21.91, because every factor above that pairs with one below it.

480 ÷ 1 = 480 ✓
480 ÷ 2 = 240 ✓
480 ÷ 3 = 160 ✓
480 ÷ 4 = 120 ✓
480 ÷ 5 = 96 ✓
480 ÷ 6 = 80 ✓
480 ÷ 8 = 60 ✓
480 ÷ 10 = 48 ✓
480 ÷ 12 = 40 ✓
480 ÷ 15 = 32 ✓
480 ÷ 16 = 30 ✓
480 ÷ 20 = 24 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480. The factor calculator does this automatically for any number.

Numbers mathematically connected to 480.

Frequently asked questions about 480

What are the factors of 480?

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, and 480. That is 24 factors in total, counting both 1 and 480.

Is 480 a prime number?

No, 480 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 480 is also divisible by 2.

What is the prime factorization of 480?

The prime factorization of 480 is 2⁵ × 3 × 5. Written out in full: 2 × 2 × 2 × 2 × 2 × 3 × 5 = 480. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 480?

There are 12 pairs of whole numbers that multiply to 480: 1 × 480, 2 × 240, 3 × 160, 4 × 120, 5 × 96, 6 × 80, 8 × 60, 10 × 48, 12 × 40, 15 × 32, 16 × 30, 20 × 24.

What is the sum of the factors of 480?

Adding all the factors of 480 together gives 1512. Excluding 480 itself, the proper factors sum to 1032.

Is 480 a perfect square?

No, 480 is not a perfect square. There is no whole number that multiplies by itself to give 480. The nearest perfect squares are 441 and 484.

What is the largest factor of 480 other than itself?

The largest factor of 480 apart from 480 itself is 240, since 480 ÷ 240 = 2.

How many factors does 480 have?

480 has 24 factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, and 480. You can verify this from the prime factorization 2⁵ × 3 × 5: add 1 to each exponent and multiply, giving 6 × 2 × 2 = 24.

Explore more

Try another number in the factor calculator, break 480 down further with the prime factorization calculator, or compare 480 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.