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Factors of 477

477 has 6 factors: 1, 3, 9, 53, 159 and 477. Its prime factorization is 3² × 53.

Factor pairs of 477

Factor×FactorProduct
1×477477
3×159477
9×53477

Negative pairs work too: (−1) × (−477), (−3) × (−159), … = 477.

Number of factors
6
Factor pairs
3
Sum of factors
702
Prime or composite
Composite
Even or odd
Odd
Perfect square
No
Prime factorization 3² × 53

How to find the factors of 477

Test every whole number from 1 up to the square root of 477 (√477 ≈ 21.840). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 477 ÷ 1 = 477 — so 1 and 477 are factors
  • 477 ÷ 2 = 238.5 — not a whole number
  • 477 ÷ 3 = 159 — so 3 and 159 are factors
  • 477 ÷ 4 = 119.25 — not a whole number
  • 477 ÷ 5 = 95.4 — not a whole number
  • 477 ÷ 6 = 79.5 — not a whole number
  • 477 ÷ 7 = 68.143 — not a whole number
  • 477 ÷ 8 = 59.625 — not a whole number
  • 477 ÷ 9 = 53 — so 9 and 53 are factors
  • 477 ÷ 10 = 47.7 — not a whole number
  • 477 ÷ 11 = 43.364 — not a whole number
  • 477 ÷ 12 = 39.75 — not a whole number
  • 477 ÷ 13 = 36.692 — not a whole number
  • 477 ÷ 14 = 34.071 — not a whole number
  • 477 ÷ 15 = 31.8 — not a whole number
  • 477 ÷ 16 = 29.813 — not a whole number
  • 477 ÷ 17 = 28.059 — not a whole number
  • 477 ÷ 18 = 26.5 — not a whole number
  • 477 ÷ 19 = 25.105 — not a whole number
  • 477 ÷ 20 = 23.85 — not a whole number
  • 477 ÷ 21 = 22.714 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 9, 53, 159 and 477.

Prime factorization of 477

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

477 ÷ 3 = 159
159 ÷ 3 = 53
53 ÷ 53 = 1

The primes you divided by give 477 = 3² × 53. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 477

  • 477 is a composite number.
  • The sum of all its factors is 702; the sum of its proper factors (excluding 477) is 225, which makes it a deficient number (its proper factors add up to less than itself).
  • 477 is not a perfect square, so its factors pair up evenly.
  • Multiples of 477 include 954, 1,431, 1,908, 2,385 and so on.

Factors vs. multiples

Factors of 477 are the numbers that divide into it; multiples of 477 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 477?

The factors of 477 are 1, 3, 9, 53, 159 and 477. Each of these divides 477 with no remainder.

How many factors does 477 have?

477 has 6 positive factors, which form 3 factor pairs. Counting negative factors as well doubles that to 12.

What is the prime factorization of 477?

477 = 3² × 53. Its distinct prime factors are 3 and 53.

Is 477 a prime number?

No. 477 is composite because it has 6 factors, more than the two a prime number has.