Factors of 463

463 has 2 factors: 1 and 463. Its prime factorization is 463.

Factor pairs of 463

Factor×FactorProduct
1×463463

Negative pairs work too: (−1) × (−463) = 463.

Number of factors
2
Factor pairs
1
Sum of factors
464
Prime or composite
Prime
Even or odd
Odd
Perfect square
No
Prime factorization 463

How to find the factors of 463

Test every whole number from 1 up to the square root of 463 (√463 ≈ 21.517). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 463 ÷ 1 = 463 — so 1 and 463 are factors
  • 463 ÷ 2 = 231.5 — not a whole number
  • 463 ÷ 3 = 154.333 — not a whole number
  • 463 ÷ 4 = 115.75 — not a whole number
  • 463 ÷ 5 = 92.6 — not a whole number
  • 463 ÷ 6 = 77.167 — not a whole number
  • 463 ÷ 7 = 66.143 — not a whole number
  • 463 ÷ 8 = 57.875 — not a whole number
  • 463 ÷ 9 = 51.444 — not a whole number
  • 463 ÷ 10 = 46.3 — not a whole number
  • 463 ÷ 11 = 42.091 — not a whole number
  • 463 ÷ 12 = 38.583 — not a whole number
  • 463 ÷ 13 = 35.615 — not a whole number
  • 463 ÷ 14 = 33.071 — not a whole number
  • 463 ÷ 15 = 30.867 — not a whole number
  • 463 ÷ 16 = 28.938 — not a whole number
  • 463 ÷ 17 = 27.235 — not a whole number
  • 463 ÷ 18 = 25.722 — not a whole number
  • 463 ÷ 19 = 24.368 — not a whole number
  • 463 ÷ 20 = 23.15 — not a whole number
  • 463 ÷ 21 = 22.048 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 463.

Prime factorization of 463

463 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 463.

Properties of 463

  • 463 is a prime number.
  • The sum of all its factors is 464; the sum of its proper factors (excluding 463) is 1, which makes it a deficient number (its proper factors add up to less than itself).
  • 463 is not a perfect square, so its factors pair up evenly.
  • Multiples of 463 include 926, 1,389, 1,852, 2,315 and so on.

Factors vs. multiples

Factors of 463 are the numbers that divide into it; multiples of 463 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 463?

The factors of 463 are 1 and 463. Each of these divides 463 with no remainder.

How many factors does 463 have?

463 has 2 positive factors, which form 1 factor pair. Counting negative factors as well doubles that to 4.

What is the prime factorization of 463?

463 = 463. 463 is prime, so it is its own prime factorization.

Is 463 a prime number?

Yes. 463 is prime because its only factors are 1 and 463.