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Factors of 480

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. Its prime factorization is 2⁵ × 3 × 5.

Factor pairs of 480

Factor×FactorProduct
1×480480
2×240480
3×160480
4×120480
5×96480
6×80480
8×60480
10×48480
12×40480
15×32480
16×30480
20×24480

Negative pairs work too: (−1) × (−480), (−2) × (−240), … = 480.

Number of factors
24
Factor pairs
12
Sum of factors
1,512
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2⁵ × 3 × 5

How to find the factors of 480

Test every whole number from 1 up to the square root of 480 (√480 ≈ 21.909). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 480 ÷ 1 = 480 — so 1 and 480 are factors
  • 480 ÷ 2 = 240 — so 2 and 240 are factors
  • 480 ÷ 3 = 160 — so 3 and 160 are factors
  • 480 ÷ 4 = 120 — so 4 and 120 are factors
  • 480 ÷ 5 = 96 — so 5 and 96 are factors
  • 480 ÷ 6 = 80 — so 6 and 80 are factors
  • 480 ÷ 7 = 68.571 — not a whole number
  • 480 ÷ 8 = 60 — so 8 and 60 are factors
  • 480 ÷ 9 = 53.333 — not a whole number
  • 480 ÷ 10 = 48 — so 10 and 48 are factors
  • 480 ÷ 11 = 43.636 — not a whole number
  • 480 ÷ 12 = 40 — so 12 and 40 are factors
  • 480 ÷ 13 = 36.923 — not a whole number
  • 480 ÷ 14 = 34.286 — not a whole number
  • 480 ÷ 15 = 32 — so 15 and 32 are factors
  • 480 ÷ 16 = 30 — so 16 and 30 are factors
  • 480 ÷ 17 = 28.235 — not a whole number
  • 480 ÷ 18 = 26.667 — not a whole number
  • 480 ÷ 19 = 25.263 — not a whole number
  • 480 ÷ 20 = 24 — so 20 and 24 are factors
  • 480 ÷ 21 = 22.857 — not a whole number

Collecting both numbers from every successful division gives the complete list: 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.

Prime factorization of 480

Divide by the smallest prime that fits, and keep going until the quotient is 1:

480 ÷ 2 = 240
240 ÷ 2 = 120
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1

The primes you divided by give 480 = 2⁵ × 3 × 5. From the exponents you can also count the factors without listing them: (5 + 1) × (1 + 1) × (1 + 1) = 24.

Properties of 480

  • 480 is a composite number.
  • The sum of all its factors is 1,512; the sum of its proper factors (excluding 480) is 1,032, which makes it a abundant number (its proper factors add up to more than itself).
  • 480 is not a perfect square, so its factors pair up evenly.
  • Multiples of 480 include 960, 1,440, 1,920, 2,400 and so on.

Factors vs. multiples

Factors of 480 are the numbers that divide into it; multiples of 480 are the numbers it divides into. Every number has a limited set of factors but infinitely many multiples. To work with any other number, use the factors calculator, or find shared factors with the GCF calculator.

Frequently asked questions

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. Each of these divides 480 with no remainder.

How many factors does 480 have?

480 has 24 positive factors, which form 12 factor pairs. Counting negative factors as well doubles that to 48.

What is the prime factorization of 480?

480 = 2⁵ × 3 × 5. Its distinct prime factors are 2, 3 and 5.

Is 480 a prime number?

No. 480 is composite because it has 24 factors, more than the two a prime number has.