Factor Calculator

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. In total, 720 has 30 factors. Its prime factorization is 2⁴ × 3² × 5, and the sum of all its factors is 2418.

All factors of 720

Here are all 30 factors of 720, listed from smallest to largest.

1234568910121516182024303640454860728090120144180240360720

Factor pairs of 720

These 15 pairs of whole numbers each multiply to give 720.

1 × 720 = 720
2 × 360 = 720
3 × 240 = 720
4 × 180 = 720
5 × 144 = 720
6 × 120 = 720
8 × 90 = 720
9 × 80 = 720
10 × 72 = 720
12 × 60 = 720
15 × 48 = 720
16 × 45 = 720
18 × 40 = 720
20 × 36 = 720
24 × 30 = 720

Prime factorization of 720

Dividing 720 by the smallest prime at each step gives its prime factorization:

720 ÷ 2 = 360
360 ÷ 2 = 180
180 ÷ 2 = 90
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
Result: 720 = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 2⁴ × 3² × 5

The distinct prime factors of 720 are 2, 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 720

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

Factor tree of 7207202360218029024531535
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 720

Number of factors30
Sum of factors2418
Sum of proper factors1698
Prime factorization2⁴ × 3² × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 720 interesting

  • 720 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 15 different ways.
  • 720 is an abundant number: its proper factors sum to 1698, which is 978 more than 720 itself.
  • 720 is a highly composite number — it has more factors (30) than any smaller positive integer. Numbers like this are useful in measurement systems because they divide evenly so many ways.
  • 720 has 3 distinct prime factors (2, 3, 5), which is why it has so many divisors.

How to find the factors of 720 yourself

Divide 720 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 √720 ≈ 26.83, because every factor above that pairs with one below it.

720 ÷ 1 = 720 ✓
720 ÷ 2 = 360 ✓
720 ÷ 3 = 240 ✓
720 ÷ 4 = 180 ✓
720 ÷ 5 = 144 ✓
720 ÷ 6 = 120 ✓
720 ÷ 8 = 90 ✓
720 ÷ 9 = 80 ✓
720 ÷ 10 = 72 ✓
720 ÷ 12 = 60 ✓
720 ÷ 15 = 48 ✓
720 ÷ 16 = 45 ✓
720 ÷ 18 = 40 ✓
720 ÷ 20 = 36 ✓
720 ÷ 24 = 30 ✓

Reading both columns gives every factor: 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, 720. The factor calculator does this automatically for any number.

Numbers mathematically connected to 720.

Frequently asked questions about 720

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. That is 30 factors in total, counting both 1 and 720.

Is 720 a prime number?

No, 720 is not prime — it is a composite number with 30 factors. A prime number has exactly two factors, but 720 is also divisible by 2.

What is the prime factorization of 720?

The prime factorization of 720 is 2⁴ × 3² × 5. Written out in full: 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720. Its distinct prime factors are 2, 3, 5.

What two numbers multiply to give 720?

There are 15 pairs of whole numbers that multiply to 720: 1 × 720, 2 × 360, 3 × 240, 4 × 180, 5 × 144, 6 × 120, 8 × 90, 9 × 80, 10 × 72, 12 × 60, 15 × 48, 16 × 45, 18 × 40, 20 × 36, 24 × 30.

What is the sum of the factors of 720?

Adding all the factors of 720 together gives 2418. Excluding 720 itself, the proper factors sum to 1698.

Is 720 a perfect square?

No, 720 is not a perfect square. There is no whole number that multiplies by itself to give 720. The nearest perfect squares are 676 and 729.

What is the largest factor of 720 other than itself?

The largest factor of 720 apart from 720 itself is 360, since 720 ÷ 360 = 2.

How many factors does 720 have?

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. You can verify this from the prime factorization 2⁴ × 3² × 5: add 1 to each exponent and multiply, giving 5 × 3 × 2 = 30.

Explore more

Try another number in the factor calculator, break 720 down further with the prime factorization calculator, or compare 720 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.