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Factors of 390

390 has 16 factors: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195 and 390. Its prime factorization is 2 × 3 × 5 × 13.

Factor pairs of 390

Factor×FactorProduct
1×390390
2×195390
3×130390
5×78390
6×65390
10×39390
13×30390
15×26390

Negative pairs work too: (−1) × (−390), (−2) × (−195), … = 390.

Number of factors
16
Factor pairs
8
Sum of factors
1,008
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2 × 3 × 5 × 13

How to find the factors of 390

Test every whole number from 1 up to the square root of 390 (√390 ≈ 19.748). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 390 ÷ 1 = 390 — so 1 and 390 are factors
  • 390 ÷ 2 = 195 — so 2 and 195 are factors
  • 390 ÷ 3 = 130 — so 3 and 130 are factors
  • 390 ÷ 4 = 97.5 — not a whole number
  • 390 ÷ 5 = 78 — so 5 and 78 are factors
  • 390 ÷ 6 = 65 — so 6 and 65 are factors
  • 390 ÷ 7 = 55.714 — not a whole number
  • 390 ÷ 8 = 48.75 — not a whole number
  • 390 ÷ 9 = 43.333 — not a whole number
  • 390 ÷ 10 = 39 — so 10 and 39 are factors
  • 390 ÷ 11 = 35.455 — not a whole number
  • 390 ÷ 12 = 32.5 — not a whole number
  • 390 ÷ 13 = 30 — so 13 and 30 are factors
  • 390 ÷ 14 = 27.857 — not a whole number
  • 390 ÷ 15 = 26 — so 15 and 26 are factors
  • 390 ÷ 16 = 24.375 — not a whole number
  • 390 ÷ 17 = 22.941 — not a whole number
  • 390 ÷ 18 = 21.667 — not a whole number
  • 390 ÷ 19 = 20.526 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195 and 390.

Prime factorization of 390

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

390 ÷ 2 = 195
195 ÷ 3 = 65
65 ÷ 5 = 13
13 ÷ 13 = 1

The primes you divided by give 390 = 2 × 3 × 5 × 13. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 390

  • 390 is a composite number.
  • The sum of all its factors is 1,008; the sum of its proper factors (excluding 390) is 618, which makes it a abundant number (its proper factors add up to more than itself).
  • 390 is not a perfect square, so its factors pair up evenly.
  • Multiples of 390 include 780, 1,170, 1,560, 1,950 and so on.

Factors vs. multiples

Factors of 390 are the numbers that divide into it; multiples of 390 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 390?

The factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195 and 390. Each of these divides 390 with no remainder.

How many factors does 390 have?

390 has 16 positive factors, which form 8 factor pairs. Counting negative factors as well doubles that to 32.

What is the prime factorization of 390?

390 = 2 × 3 × 5 × 13. Its distinct prime factors are 2, 3, 5 and 13.

Is 390 a prime number?

No. 390 is composite because it has 16 factors, more than the two a prime number has.