calcfluent

Factors of 481

481 has 4 factors: 1, 13, 37 and 481. Its prime factorization is 13 × 37.

Factor pairs of 481

Factor×FactorProduct
1×481481
13×37481

Negative pairs work too: (−1) × (−481), (−13) × (−37) = 481.

Number of factors
4
Factor pairs
2
Sum of factors
532
Prime or composite
Composite
Even or odd
Odd
Perfect square
No
Prime factorization 13 × 37

How to find the factors of 481

Test every whole number from 1 up to the square root of 481 (√481 ≈ 21.932). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 481 ÷ 1 = 481 — so 1 and 481 are factors
  • 481 ÷ 2 = 240.5 — not a whole number
  • 481 ÷ 3 = 160.333 — not a whole number
  • 481 ÷ 4 = 120.25 — not a whole number
  • 481 ÷ 5 = 96.2 — not a whole number
  • 481 ÷ 6 = 80.167 — not a whole number
  • 481 ÷ 7 = 68.714 — not a whole number
  • 481 ÷ 8 = 60.125 — not a whole number
  • 481 ÷ 9 = 53.444 — not a whole number
  • 481 ÷ 10 = 48.1 — not a whole number
  • 481 ÷ 11 = 43.727 — not a whole number
  • 481 ÷ 12 = 40.083 — not a whole number
  • 481 ÷ 13 = 37 — so 13 and 37 are factors
  • 481 ÷ 14 = 34.357 — not a whole number
  • 481 ÷ 15 = 32.067 — not a whole number
  • 481 ÷ 16 = 30.063 — not a whole number
  • 481 ÷ 17 = 28.294 — not a whole number
  • 481 ÷ 18 = 26.722 — not a whole number
  • 481 ÷ 19 = 25.316 — not a whole number
  • 481 ÷ 20 = 24.05 — not a whole number
  • 481 ÷ 21 = 22.905 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 13, 37 and 481.

Prime factorization of 481

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

481 ÷ 13 = 37
37 ÷ 37 = 1

The primes you divided by give 481 = 13 × 37. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 481

  • 481 is a composite number.
  • The sum of all its factors is 532; the sum of its proper factors (excluding 481) is 51, which makes it a deficient number (its proper factors add up to less than itself).
  • 481 is not a perfect square, so its factors pair up evenly.
  • Multiples of 481 include 962, 1,443, 1,924, 2,405 and so on.

Factors vs. multiples

Factors of 481 are the numbers that divide into it; multiples of 481 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 481?

The factors of 481 are 1, 13, 37 and 481. Each of these divides 481 with no remainder.

How many factors does 481 have?

481 has 4 positive factors, which form 2 factor pairs. Counting negative factors as well doubles that to 8.

What is the prime factorization of 481?

481 = 13 × 37. Its distinct prime factors are 13 and 37.

Is 481 a prime number?

No. 481 is composite because it has 4 factors, more than the two a prime number has.