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Factors of 468

468 has 18 factors: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234 and 468. Its prime factorization is 2² × 3² × 13.

Factor pairs of 468

Factor×FactorProduct
1×468468
2×234468
3×156468
4×117468
6×78468
9×52468
12×39468
13×36468
18×26468

Negative pairs work too: (−1) × (−468), (−2) × (−234), … = 468.

Number of factors
18
Factor pairs
9
Sum of factors
1,274
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2² × 3² × 13

How to find the factors of 468

Test every whole number from 1 up to the square root of 468 (√468 ≈ 21.633). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 468 ÷ 1 = 468 — so 1 and 468 are factors
  • 468 ÷ 2 = 234 — so 2 and 234 are factors
  • 468 ÷ 3 = 156 — so 3 and 156 are factors
  • 468 ÷ 4 = 117 — so 4 and 117 are factors
  • 468 ÷ 5 = 93.6 — not a whole number
  • 468 ÷ 6 = 78 — so 6 and 78 are factors
  • 468 ÷ 7 = 66.857 — not a whole number
  • 468 ÷ 8 = 58.5 — not a whole number
  • 468 ÷ 9 = 52 — so 9 and 52 are factors
  • 468 ÷ 10 = 46.8 — not a whole number
  • 468 ÷ 11 = 42.545 — not a whole number
  • 468 ÷ 12 = 39 — so 12 and 39 are factors
  • 468 ÷ 13 = 36 — so 13 and 36 are factors
  • 468 ÷ 14 = 33.429 — not a whole number
  • 468 ÷ 15 = 31.2 — not a whole number
  • 468 ÷ 16 = 29.25 — not a whole number
  • 468 ÷ 17 = 27.529 — not a whole number
  • 468 ÷ 18 = 26 — so 18 and 26 are factors
  • 468 ÷ 19 = 24.632 — not a whole number
  • 468 ÷ 20 = 23.4 — not a whole number
  • 468 ÷ 21 = 22.286 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234 and 468.

Prime factorization of 468

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

468 ÷ 2 = 234
234 ÷ 2 = 117
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1

The primes you divided by give 468 = 2² × 3² × 13. From the exponents you can also count the factors without listing them: (2 + 1) × (2 + 1) × (1 + 1) = 18.

Properties of 468

  • 468 is a composite number.
  • The sum of all its factors is 1,274; the sum of its proper factors (excluding 468) is 806, which makes it a abundant number (its proper factors add up to more than itself).
  • 468 is not a perfect square, so its factors pair up evenly.
  • Multiples of 468 include 936, 1,404, 1,872, 2,340 and so on.

Factors vs. multiples

Factors of 468 are the numbers that divide into it; multiples of 468 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 468?

The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234 and 468. Each of these divides 468 with no remainder.

How many factors does 468 have?

468 has 18 positive factors, which form 9 factor pairs. Counting negative factors as well doubles that to 36.

What is the prime factorization of 468?

468 = 2² × 3² × 13. Its distinct prime factors are 2, 3 and 13.

Is 468 a prime number?

No. 468 is composite because it has 18 factors, more than the two a prime number has.