Factors of 930

930 has 16 factors: 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465 and 930. Its prime factorization is 2 × 3 × 5 × 31.

Factor pairs of 930

Factor×FactorProduct
1×930930
2×465930
3×310930
5×186930
6×155930
10×93930
15×62930
30×31930

Negative pairs work too: (−1) × (−930), (−2) × (−465), … = 930.

Number of factors
16
Factor pairs
8
Sum of factors
2,304
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2 × 3 × 5 × 31

How to find the factors of 930

Test every whole number from 1 up to the square root of 930 (√930 ≈ 30.496). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 930 ÷ 1 = 930 — so 1 and 930 are factors
  • 930 ÷ 2 = 465 — so 2 and 465 are factors
  • 930 ÷ 3 = 310 — so 3 and 310 are factors
  • 930 ÷ 4 = 232.5 — not a whole number
  • 930 ÷ 5 = 186 — so 5 and 186 are factors
  • 930 ÷ 6 = 155 — so 6 and 155 are factors
  • 930 ÷ 7 = 132.857 — not a whole number
  • 930 ÷ 8 = 116.25 — not a whole number
  • 930 ÷ 9 = 103.333 — not a whole number
  • 930 ÷ 10 = 93 — so 10 and 93 are factors
  • 930 ÷ 11 = 84.545 — not a whole number
  • 930 ÷ 12 = 77.5 — not a whole number
  • 930 ÷ 13 = 71.538 — not a whole number
  • 930 ÷ 14 = 66.429 — not a whole number
  • 930 ÷ 15 = 62 — so 15 and 62 are factors
  • 930 ÷ 16 = 58.125 — not a whole number
  • 930 ÷ 17 = 54.706 — not a whole number
  • 930 ÷ 18 = 51.667 — not a whole number
  • 930 ÷ 19 = 48.947 — not a whole number
  • 930 ÷ 20 = 46.5 — not a whole number
  • 930 ÷ 21 = 44.286 — not a whole number
  • 930 ÷ 22 = 42.273 — not a whole number
  • 930 ÷ 23 = 40.435 — not a whole number
  • 930 ÷ 24 = 38.75 — not a whole number
  • 930 ÷ 25 = 37.2 — not a whole number
  • 930 ÷ 26 = 35.769 — not a whole number
  • 930 ÷ 27 = 34.444 — not a whole number
  • 930 ÷ 28 = 33.214 — not a whole number
  • 930 ÷ 29 = 32.069 — not a whole number
  • 930 ÷ 30 = 31 — so 30 and 31 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465 and 930.

Prime factorization of 930

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

930 ÷ 2 = 465
465 ÷ 3 = 155
155 ÷ 5 = 31
31 ÷ 31 = 1

The primes you divided by give 930 = 2 × 3 × 5 × 31. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 930

  • 930 is a composite number.
  • The sum of all its factors is 2,304; the sum of its proper factors (excluding 930) is 1,374, which makes it a abundant number (its proper factors add up to more than itself).
  • 930 is not a perfect square, so its factors pair up evenly.
  • Multiples of 930 include 1,860, 2,790, 3,720, 4,650 and so on.

Factors vs. multiples

Factors of 930 are the numbers that divide into it; multiples of 930 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 930?

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465 and 930. Each of these divides 930 with no remainder.

How many factors does 930 have?

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

What is the prime factorization of 930?

930 = 2 × 3 × 5 × 31. Its distinct prime factors are 2, 3, 5 and 31.

Is 930 a prime number?

No. 930 is composite because it has 16 factors, more than the two a prime number has.