Factors of 994

994 has 8 factors: 1, 2, 7, 14, 71, 142, 497 and 994. Its prime factorization is 2 × 7 × 71.

Factor pairs of 994

Factor×FactorProduct
1×994994
2×497994
7×142994
14×71994

Negative pairs work too: (−1) × (−994), (−2) × (−497), … = 994.

Number of factors
8
Factor pairs
4
Sum of factors
1,728
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2 × 7 × 71

How to find the factors of 994

Test every whole number from 1 up to the square root of 994 (√994 ≈ 31.528). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 994 ÷ 1 = 994 — so 1 and 994 are factors
  • 994 ÷ 2 = 497 — so 2 and 497 are factors
  • 994 ÷ 3 = 331.333 — not a whole number
  • 994 ÷ 4 = 248.5 — not a whole number
  • 994 ÷ 5 = 198.8 — not a whole number
  • 994 ÷ 6 = 165.667 — not a whole number
  • 994 ÷ 7 = 142 — so 7 and 142 are factors
  • 994 ÷ 8 = 124.25 — not a whole number
  • 994 ÷ 9 = 110.444 — not a whole number
  • 994 ÷ 10 = 99.4 — not a whole number
  • 994 ÷ 11 = 90.364 — not a whole number
  • 994 ÷ 12 = 82.833 — not a whole number
  • 994 ÷ 13 = 76.462 — not a whole number
  • 994 ÷ 14 = 71 — so 14 and 71 are factors
  • 994 ÷ 15 = 66.267 — not a whole number
  • 994 ÷ 16 = 62.125 — not a whole number
  • 994 ÷ 17 = 58.471 — not a whole number
  • 994 ÷ 18 = 55.222 — not a whole number
  • 994 ÷ 19 = 52.316 — not a whole number
  • 994 ÷ 20 = 49.7 — not a whole number
  • 994 ÷ 21 = 47.333 — not a whole number
  • 994 ÷ 22 = 45.182 — not a whole number
  • 994 ÷ 23 = 43.217 — not a whole number
  • 994 ÷ 24 = 41.417 — not a whole number
  • 994 ÷ 25 = 39.76 — not a whole number
  • 994 ÷ 26 = 38.231 — not a whole number
  • 994 ÷ 27 = 36.815 — not a whole number
  • 994 ÷ 28 = 35.5 — not a whole number
  • 994 ÷ 29 = 34.276 — not a whole number
  • 994 ÷ 30 = 33.133 — not a whole number
  • 994 ÷ 31 = 32.065 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 7, 14, 71, 142, 497 and 994.

Prime factorization of 994

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

994 ÷ 2 = 497
497 ÷ 7 = 71
71 ÷ 71 = 1

The primes you divided by give 994 = 2 × 7 × 71. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 994

  • 994 is a composite number.
  • The sum of all its factors is 1,728; the sum of its proper factors (excluding 994) is 734, which makes it a deficient number (its proper factors add up to less than itself).
  • 994 is not a perfect square, so its factors pair up evenly.
  • Multiples of 994 include 1,988, 2,982, 3,976, 4,970 and so on.

Factors vs. multiples

Factors of 994 are the numbers that divide into it; multiples of 994 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 994?

The factors of 994 are 1, 2, 7, 14, 71, 142, 497 and 994. Each of these divides 994 with no remainder.

How many factors does 994 have?

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

What is the prime factorization of 994?

994 = 2 × 7 × 71. Its distinct prime factors are 2, 7 and 71.

Is 994 a prime number?

No. 994 is composite because it has 8 factors, more than the two a prime number has.