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Factors of 473

473 has 4 factors: 1, 11, 43 and 473. Its prime factorization is 11 × 43.

Factor pairs of 473

Factor×FactorProduct
1×473473
11×43473

Negative pairs work too: (−1) × (−473), (−11) × (−43) = 473.

Number of factors
4
Factor pairs
2
Sum of factors
528
Prime or composite
Composite
Even or odd
Odd
Perfect square
No
Prime factorization 11 × 43

How to find the factors of 473

Test every whole number from 1 up to the square root of 473 (√473 ≈ 21.749). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 473 ÷ 1 = 473 — so 1 and 473 are factors
  • 473 ÷ 2 = 236.5 — not a whole number
  • 473 ÷ 3 = 157.667 — not a whole number
  • 473 ÷ 4 = 118.25 — not a whole number
  • 473 ÷ 5 = 94.6 — not a whole number
  • 473 ÷ 6 = 78.833 — not a whole number
  • 473 ÷ 7 = 67.571 — not a whole number
  • 473 ÷ 8 = 59.125 — not a whole number
  • 473 ÷ 9 = 52.556 — not a whole number
  • 473 ÷ 10 = 47.3 — not a whole number
  • 473 ÷ 11 = 43 — so 11 and 43 are factors
  • 473 ÷ 12 = 39.417 — not a whole number
  • 473 ÷ 13 = 36.385 — not a whole number
  • 473 ÷ 14 = 33.786 — not a whole number
  • 473 ÷ 15 = 31.533 — not a whole number
  • 473 ÷ 16 = 29.563 — not a whole number
  • 473 ÷ 17 = 27.824 — not a whole number
  • 473 ÷ 18 = 26.278 — not a whole number
  • 473 ÷ 19 = 24.895 — not a whole number
  • 473 ÷ 20 = 23.65 — not a whole number
  • 473 ÷ 21 = 22.524 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 11, 43 and 473.

Prime factorization of 473

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

473 ÷ 11 = 43
43 ÷ 43 = 1

The primes you divided by give 473 = 11 × 43. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 473

  • 473 is a composite number.
  • The sum of all its factors is 528; the sum of its proper factors (excluding 473) is 55, which makes it a deficient number (its proper factors add up to less than itself).
  • 473 is not a perfect square, so its factors pair up evenly.
  • Multiples of 473 include 946, 1,419, 1,892, 2,365 and so on.

Factors vs. multiples

Factors of 473 are the numbers that divide into it; multiples of 473 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 473?

The factors of 473 are 1, 11, 43 and 473. Each of these divides 473 with no remainder.

How many factors does 473 have?

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

What is the prime factorization of 473?

473 = 11 × 43. Its distinct prime factors are 11 and 43.

Is 473 a prime number?

No. 473 is composite because it has 4 factors, more than the two a prime number has.