How to find the factors of 80
Test every whole number from 1 up to the square root of 80 (√80 ≈ 8.944). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 80 ÷ 1 = 80 — so 1 and 80 are factors
- 80 ÷ 2 = 40 — so 2 and 40 are factors
- 80 ÷ 3 = 26.667 — not a whole number
- 80 ÷ 4 = 20 — so 4 and 20 are factors
- 80 ÷ 5 = 16 — so 5 and 16 are factors
- 80 ÷ 6 = 13.333 — not a whole number
- 80 ÷ 7 = 11.429 — not a whole number
- 80 ÷ 8 = 10 — so 8 and 10 are factors
Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.
Prime factorization of 80
Divide by the smallest prime that fits, and keep going until the quotient is 1:
The primes you divided by give 80 = 2⁴ × 5. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.
Properties of 80
- 80 is a composite number.
- The sum of all its factors is 186; the sum of its proper factors (excluding 80) is 106, which makes it a abundant number (its proper factors add up to more than itself).
- 80 is not a perfect square, so its factors pair up evenly.
- Multiples of 80 include 160, 240, 320, 400 and so on.
Factors vs. multiples
Factors of 80 are the numbers that divide into it; multiples of 80 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 80?
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. Each of these divides 80 with no remainder.
How many factors does 80 have?
80 has 10 positive factors, which form 5 factor pairs. Counting negative factors as well doubles that to 20.
What is the prime factorization of 80?
80 = 2⁴ × 5. Its distinct prime factors are 2 and 5.
Is 80 a prime number?
No. 80 is composite because it has 10 factors, more than the two a prime number has.