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Factors of 432

432 has 20 factors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432. Its prime factorization is 2⁴ × 3³.

Factor pairs of 432

Factor×FactorProduct
1×432432
2×216432
3×144432
4×108432
6×72432
8×54432
9×48432
12×36432
16×27432
18×24432

Negative pairs work too: (−1) × (−432), (−2) × (−216), … = 432.

Number of factors
20
Factor pairs
10
Sum of factors
1,240
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2⁴ × 3³

How to find the factors of 432

Test every whole number from 1 up to the square root of 432 (√432 ≈ 20.785). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 432 ÷ 1 = 432 — so 1 and 432 are factors
  • 432 ÷ 2 = 216 — so 2 and 216 are factors
  • 432 ÷ 3 = 144 — so 3 and 144 are factors
  • 432 ÷ 4 = 108 — so 4 and 108 are factors
  • 432 ÷ 5 = 86.4 — not a whole number
  • 432 ÷ 6 = 72 — so 6 and 72 are factors
  • 432 ÷ 7 = 61.714 — not a whole number
  • 432 ÷ 8 = 54 — so 8 and 54 are factors
  • 432 ÷ 9 = 48 — so 9 and 48 are factors
  • 432 ÷ 10 = 43.2 — not a whole number
  • 432 ÷ 11 = 39.273 — not a whole number
  • 432 ÷ 12 = 36 — so 12 and 36 are factors
  • 432 ÷ 13 = 33.231 — not a whole number
  • 432 ÷ 14 = 30.857 — not a whole number
  • 432 ÷ 15 = 28.8 — not a whole number
  • 432 ÷ 16 = 27 — so 16 and 27 are factors
  • 432 ÷ 17 = 25.412 — not a whole number
  • 432 ÷ 18 = 24 — so 18 and 24 are factors
  • 432 ÷ 19 = 22.737 — not a whole number
  • 432 ÷ 20 = 21.6 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432.

Prime factorization of 432

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

432 ÷ 2 = 216
216 ÷ 2 = 108
108 ÷ 2 = 54
54 ÷ 2 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

The primes you divided by give 432 = 2⁴ × 3³. From the exponents you can also count the factors without listing them: (4 + 1) × (3 + 1) = 20.

Properties of 432

  • 432 is a composite number.
  • The sum of all its factors is 1,240; the sum of its proper factors (excluding 432) is 808, which makes it a abundant number (its proper factors add up to more than itself).
  • 432 is not a perfect square, so its factors pair up evenly.
  • Multiples of 432 include 864, 1,296, 1,728, 2,160 and so on.

Factors vs. multiples

Factors of 432 are the numbers that divide into it; multiples of 432 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 432?

The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216 and 432. Each of these divides 432 with no remainder.

How many factors does 432 have?

432 has 20 positive factors, which form 10 factor pairs. Counting negative factors as well doubles that to 40.

What is the prime factorization of 432?

432 = 2⁴ × 3³. Its distinct prime factors are 2 and 3.

Is 432 a prime number?

No. 432 is composite because it has 20 factors, more than the two a prime number has.