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Factors of 720

720 has 30 factors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360 and 720. Its prime factorization is 2⁴ × 3² × 5.

Factor pairs of 720

Factor×FactorProduct
1×720720
2×360720
3×240720
4×180720
5×144720
6×120720
8×90720
9×80720
10×72720
12×60720
15×48720
16×45720
18×40720
20×36720
24×30720

Negative pairs work too: (−1) × (−720), (−2) × (−360), … = 720.

Number of factors
30
Factor pairs
15
Sum of factors
2,418
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2⁴ × 3² × 5

How to find the factors of 720

Test every whole number from 1 up to the square root of 720 (√720 ≈ 26.833). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 720 ÷ 1 = 720 — so 1 and 720 are factors
  • 720 ÷ 2 = 360 — so 2 and 360 are factors
  • 720 ÷ 3 = 240 — so 3 and 240 are factors
  • 720 ÷ 4 = 180 — so 4 and 180 are factors
  • 720 ÷ 5 = 144 — so 5 and 144 are factors
  • 720 ÷ 6 = 120 — so 6 and 120 are factors
  • 720 ÷ 7 = 102.857 — not a whole number
  • 720 ÷ 8 = 90 — so 8 and 90 are factors
  • 720 ÷ 9 = 80 — so 9 and 80 are factors
  • 720 ÷ 10 = 72 — so 10 and 72 are factors
  • 720 ÷ 11 = 65.455 — not a whole number
  • 720 ÷ 12 = 60 — so 12 and 60 are factors
  • 720 ÷ 13 = 55.385 — not a whole number
  • 720 ÷ 14 = 51.429 — not a whole number
  • 720 ÷ 15 = 48 — so 15 and 48 are factors
  • 720 ÷ 16 = 45 — so 16 and 45 are factors
  • 720 ÷ 17 = 42.353 — not a whole number
  • 720 ÷ 18 = 40 — so 18 and 40 are factors
  • 720 ÷ 19 = 37.895 — not a whole number
  • 720 ÷ 20 = 36 — so 20 and 36 are factors
  • 720 ÷ 21 = 34.286 — not a whole number
  • 720 ÷ 22 = 32.727 — not a whole number
  • 720 ÷ 23 = 31.304 — not a whole number
  • 720 ÷ 24 = 30 — so 24 and 30 are factors
  • 720 ÷ 25 = 28.8 — not a whole number
  • 720 ÷ 26 = 27.692 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360 and 720.

Prime factorization of 720

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

720 ÷ 2 = 360
360 ÷ 2 = 180
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1

The primes you divided by give 720 = 2⁴ × 3² × 5. From the exponents you can also count the factors without listing them: (4 + 1) × (2 + 1) × (1 + 1) = 30.

Properties of 720

  • 720 is a composite number.
  • The sum of all its factors is 2,418; the sum of its proper factors (excluding 720) is 1,698, which makes it a abundant number (its proper factors add up to more than itself).
  • 720 is not a perfect square, so its factors pair up evenly.
  • Multiples of 720 include 1,440, 2,160, 2,880, 3,600 and so on.

Factors vs. multiples

Factors of 720 are the numbers that divide into it; multiples of 720 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 720?

The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360 and 720. Each of these divides 720 with no remainder.

How many factors does 720 have?

720 has 30 positive factors, which form 15 factor pairs. Counting negative factors as well doubles that to 60.

What is the prime factorization of 720?

720 = 2⁴ × 3² × 5. Its distinct prime factors are 2, 3 and 5.

Is 720 a prime number?

No. 720 is composite because it has 30 factors, more than the two a prime number has.