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Factors of 396

396 has 18 factors: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396. Its prime factorization is 2² × 3² × 11.

Factor pairs of 396

Factor×FactorProduct
1×396396
2×198396
3×132396
4×99396
6×66396
9×44396
11×36396
12×33396
18×22396

Negative pairs work too: (−1) × (−396), (−2) × (−198), … = 396.

Number of factors
18
Factor pairs
9
Sum of factors
1,092
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2² × 3² × 11

How to find the factors of 396

Test every whole number from 1 up to the square root of 396 (√396 ≈ 19.900). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 396 ÷ 1 = 396 — so 1 and 396 are factors
  • 396 ÷ 2 = 198 — so 2 and 198 are factors
  • 396 ÷ 3 = 132 — so 3 and 132 are factors
  • 396 ÷ 4 = 99 — so 4 and 99 are factors
  • 396 ÷ 5 = 79.2 — not a whole number
  • 396 ÷ 6 = 66 — so 6 and 66 are factors
  • 396 ÷ 7 = 56.571 — not a whole number
  • 396 ÷ 8 = 49.5 — not a whole number
  • 396 ÷ 9 = 44 — so 9 and 44 are factors
  • 396 ÷ 10 = 39.6 — not a whole number
  • 396 ÷ 11 = 36 — so 11 and 36 are factors
  • 396 ÷ 12 = 33 — so 12 and 33 are factors
  • 396 ÷ 13 = 30.462 — not a whole number
  • 396 ÷ 14 = 28.286 — not a whole number
  • 396 ÷ 15 = 26.4 — not a whole number
  • 396 ÷ 16 = 24.75 — not a whole number
  • 396 ÷ 17 = 23.294 — not a whole number
  • 396 ÷ 18 = 22 — so 18 and 22 are factors
  • 396 ÷ 19 = 20.842 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396.

Prime factorization of 396

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

396 ÷ 2 = 198
198 ÷ 2 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1

The primes you divided by give 396 = 2² × 3² × 11. From the exponents you can also count the factors without listing them: (2 + 1) × (2 + 1) × (1 + 1) = 18.

Properties of 396

  • 396 is a composite number.
  • The sum of all its factors is 1,092; the sum of its proper factors (excluding 396) is 696, which makes it a abundant number (its proper factors add up to more than itself).
  • 396 is not a perfect square, so its factors pair up evenly.
  • Multiples of 396 include 792, 1,188, 1,584, 1,980 and so on.

Factors vs. multiples

Factors of 396 are the numbers that divide into it; multiples of 396 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 396?

The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198 and 396. Each of these divides 396 with no remainder.

How many factors does 396 have?

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

What is the prime factorization of 396?

396 = 2² × 3² × 11. Its distinct prime factors are 2, 3 and 11.

Is 396 a prime number?

No. 396 is composite because it has 18 factors, more than the two a prime number has.