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Factors of 438

438 has 8 factors: 1, 2, 3, 6, 73, 146, 219 and 438. Its prime factorization is 2 × 3 × 73.

Factor pairs of 438

Factor×FactorProduct
1×438438
2×219438
3×146438
6×73438

Negative pairs work too: (−1) × (−438), (−2) × (−219), … = 438.

Number of factors
8
Factor pairs
4
Sum of factors
888
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2 × 3 × 73

How to find the factors of 438

Test every whole number from 1 up to the square root of 438 (√438 ≈ 20.928). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 438 ÷ 1 = 438 — so 1 and 438 are factors
  • 438 ÷ 2 = 219 — so 2 and 219 are factors
  • 438 ÷ 3 = 146 — so 3 and 146 are factors
  • 438 ÷ 4 = 109.5 — not a whole number
  • 438 ÷ 5 = 87.6 — not a whole number
  • 438 ÷ 6 = 73 — so 6 and 73 are factors
  • 438 ÷ 7 = 62.571 — not a whole number
  • 438 ÷ 8 = 54.75 — not a whole number
  • 438 ÷ 9 = 48.667 — not a whole number
  • 438 ÷ 10 = 43.8 — not a whole number
  • 438 ÷ 11 = 39.818 — not a whole number
  • 438 ÷ 12 = 36.5 — not a whole number
  • 438 ÷ 13 = 33.692 — not a whole number
  • 438 ÷ 14 = 31.286 — not a whole number
  • 438 ÷ 15 = 29.2 — not a whole number
  • 438 ÷ 16 = 27.375 — not a whole number
  • 438 ÷ 17 = 25.765 — not a whole number
  • 438 ÷ 18 = 24.333 — not a whole number
  • 438 ÷ 19 = 23.053 — not a whole number
  • 438 ÷ 20 = 21.9 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 73, 146, 219 and 438.

Prime factorization of 438

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

438 ÷ 2 = 219
219 ÷ 3 = 73
73 ÷ 73 = 1

The primes you divided by give 438 = 2 × 3 × 73. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 438

  • 438 is a composite number.
  • The sum of all its factors is 888; the sum of its proper factors (excluding 438) is 450, which makes it a abundant number (its proper factors add up to more than itself).
  • 438 is not a perfect square, so its factors pair up evenly.
  • Multiples of 438 include 876, 1,314, 1,752, 2,190 and so on.

Factors vs. multiples

Factors of 438 are the numbers that divide into it; multiples of 438 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 438?

The factors of 438 are 1, 2, 3, 6, 73, 146, 219 and 438. Each of these divides 438 with no remainder.

How many factors does 438 have?

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

What is the prime factorization of 438?

438 = 2 × 3 × 73. Its distinct prime factors are 2, 3 and 73.

Is 438 a prime number?

No. 438 is composite because it has 8 factors, more than the two a prime number has.