Factor Calculator

Factors of 80

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. In total, 80 has 10 factors. Its prime factorization is 2⁴ × 5, and the sum of all its factors is 186.

All factors of 80

Here are all 10 factors of 80, listed from smallest to largest.

124581016204080

Factor pairs of 80

These 5 pairs of whole numbers each multiply to give 80.

1 × 80 = 80
2 × 40 = 80
4 × 20 = 80
5 × 16 = 80
8 × 10 = 80

Prime factorization of 80

Dividing 80 by the smallest prime at each step gives its prime factorization:

80 ÷ 2 = 40
40 ÷ 2 = 20
20 ÷ 2 = 10
10 ÷ 2 = 5
5 ÷ 5 = 1
Result: 80 = 2 × 2 × 2 × 2 × 5 = 2⁴ × 5

The distinct prime factors of 80 are 2, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 80

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

Factor tree of 808024022021025
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 80

Number of factors10
Sum of factors186
Sum of proper factors106
Prime factorization2⁴ × 5
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 80 interesting

  • 80 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 5 different ways.
  • 80 is an abundant number: its proper factors sum to 106, which is 26 more than 80 itself.

How to find the factors of 80 yourself

Divide 80 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 √80 ≈ 8.94, because every factor above that pairs with one below it.

80 ÷ 1 = 80 ✓
80 ÷ 2 = 40 ✓
80 ÷ 4 = 20 ✓
80 ÷ 5 = 16 ✓
80 ÷ 8 = 10 ✓

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

Numbers mathematically connected to 80.

Frequently asked questions about 80

What are the factors of 80?

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

Is 80 a prime number?

No, 80 is not prime — it is a composite number with 10 factors. A prime number has exactly two factors, but 80 is also divisible by 2.

What is the prime factorization of 80?

The prime factorization of 80 is 2⁴ × 5. Written out in full: 2 × 2 × 2 × 2 × 5 = 80. Its distinct prime factors are 2, 5.

What two numbers multiply to give 80?

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

What is the sum of the factors of 80?

Adding all the factors of 80 together gives 186. Excluding 80 itself, the proper factors sum to 106.

Is 80 a perfect square?

No, 80 is not a perfect square. There is no whole number that multiplies by itself to give 80. The nearest perfect squares are 64 and 81.

What is the largest factor of 80 other than itself?

The largest factor of 80 apart from 80 itself is 40, since 80 ÷ 40 = 2.

How many factors does 80 have?

80 has 10 factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. You can verify this from the prime factorization 2⁴ × 5: add 1 to each exponent and multiply, giving 5 × 2 = 10.

Explore more

Try another number in the factor calculator, break 80 down further with the prime factorization calculator, or compare 80 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.