How to find the factors of 548
Test every whole number from 1 up to the square root of 548 (√548 ≈ 23.409). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 548 ÷ 1 = 548 — so 1 and 548 are factors
- 548 ÷ 2 = 274 — so 2 and 274 are factors
- 548 ÷ 3 = 182.667 — not a whole number
- 548 ÷ 4 = 137 — so 4 and 137 are factors
- 548 ÷ 5 = 109.6 — not a whole number
- 548 ÷ 6 = 91.333 — not a whole number
- 548 ÷ 7 = 78.286 — not a whole number
- 548 ÷ 8 = 68.5 — not a whole number
- 548 ÷ 9 = 60.889 — not a whole number
- 548 ÷ 10 = 54.8 — not a whole number
- 548 ÷ 11 = 49.818 — not a whole number
- 548 ÷ 12 = 45.667 — not a whole number
- 548 ÷ 13 = 42.154 — not a whole number
- 548 ÷ 14 = 39.143 — not a whole number
- 548 ÷ 15 = 36.533 — not a whole number
- 548 ÷ 16 = 34.25 — not a whole number
- 548 ÷ 17 = 32.235 — not a whole number
- 548 ÷ 18 = 30.444 — not a whole number
- 548 ÷ 19 = 28.842 — not a whole number
- 548 ÷ 20 = 27.4 — not a whole number
- 548 ÷ 21 = 26.095 — not a whole number
- 548 ÷ 22 = 24.909 — not a whole number
- 548 ÷ 23 = 23.826 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 137, 274 and 548.
Prime factorization of 548
Divide by the smallest prime that fits, and keep going until the quotient is 1:
The primes you divided by give 548 = 2² × 137. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.
Properties of 548
- 548 is a composite number.
- The sum of all its factors is 966; the sum of its proper factors (excluding 548) is 418, which makes it a deficient number (its proper factors add up to less than itself).
- 548 is not a perfect square, so its factors pair up evenly.
- Multiples of 548 include 1,096, 1,644, 2,192, 2,740 and so on.
Factors vs. multiples
Factors of 548 are the numbers that divide into it; multiples of 548 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 548?
The factors of 548 are 1, 2, 4, 137, 274 and 548. Each of these divides 548 with no remainder.
How many factors does 548 have?
548 has 6 positive factors, which form 3 factor pairs. Counting negative factors as well doubles that to 12.
What is the prime factorization of 548?
548 = 2² × 137. Its distinct prime factors are 2 and 137.
Is 548 a prime number?
No. 548 is composite because it has 6 factors, more than the two a prime number has.