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Factors of 426

426 has 8 factors: 1, 2, 3, 6, 71, 142, 213 and 426. Its prime factorization is 2 × 3 × 71.

Factor pairs of 426

Factor×FactorProduct
1×426426
2×213426
3×142426
6×71426

Negative pairs work too: (−1) × (−426), (−2) × (−213), … = 426.

Number of factors
8
Factor pairs
4
Sum of factors
864
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2 × 3 × 71

How to find the factors of 426

Test every whole number from 1 up to the square root of 426 (√426 ≈ 20.640). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 426 ÷ 1 = 426 — so 1 and 426 are factors
  • 426 ÷ 2 = 213 — so 2 and 213 are factors
  • 426 ÷ 3 = 142 — so 3 and 142 are factors
  • 426 ÷ 4 = 106.5 — not a whole number
  • 426 ÷ 5 = 85.2 — not a whole number
  • 426 ÷ 6 = 71 — so 6 and 71 are factors
  • 426 ÷ 7 = 60.857 — not a whole number
  • 426 ÷ 8 = 53.25 — not a whole number
  • 426 ÷ 9 = 47.333 — not a whole number
  • 426 ÷ 10 = 42.6 — not a whole number
  • 426 ÷ 11 = 38.727 — not a whole number
  • 426 ÷ 12 = 35.5 — not a whole number
  • 426 ÷ 13 = 32.769 — not a whole number
  • 426 ÷ 14 = 30.429 — not a whole number
  • 426 ÷ 15 = 28.4 — not a whole number
  • 426 ÷ 16 = 26.625 — not a whole number
  • 426 ÷ 17 = 25.059 — not a whole number
  • 426 ÷ 18 = 23.667 — not a whole number
  • 426 ÷ 19 = 22.421 — not a whole number
  • 426 ÷ 20 = 21.3 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 71, 142, 213 and 426.

Prime factorization of 426

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

426 ÷ 2 = 213
213 ÷ 3 = 71
71 ÷ 71 = 1

The primes you divided by give 426 = 2 × 3 × 71. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 426

  • 426 is a composite number.
  • The sum of all its factors is 864; the sum of its proper factors (excluding 426) is 438, which makes it a abundant number (its proper factors add up to more than itself).
  • 426 is not a perfect square, so its factors pair up evenly.
  • Multiples of 426 include 852, 1,278, 1,704, 2,130 and so on.

Factors vs. multiples

Factors of 426 are the numbers that divide into it; multiples of 426 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 426?

The factors of 426 are 1, 2, 3, 6, 71, 142, 213 and 426. Each of these divides 426 with no remainder.

How many factors does 426 have?

426 has 8 positive factors, which form 4 factor pairs. Counting negative factors as well doubles that to 16.

What is the prime factorization of 426?

426 = 2 × 3 × 71. Its distinct prime factors are 2, 3 and 71.

Is 426 a prime number?

No. 426 is composite because it has 8 factors, more than the two a prime number has.