How to find the factors of 494
Test every whole number from 1 up to the square root of 494 (√494 ≈ 22.226). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 494 ÷ 1 = 494 — so 1 and 494 are factors
- 494 ÷ 2 = 247 — so 2 and 247 are factors
- 494 ÷ 3 = 164.667 — not a whole number
- 494 ÷ 4 = 123.5 — not a whole number
- 494 ÷ 5 = 98.8 — not a whole number
- 494 ÷ 6 = 82.333 — not a whole number
- 494 ÷ 7 = 70.571 — not a whole number
- 494 ÷ 8 = 61.75 — not a whole number
- 494 ÷ 9 = 54.889 — not a whole number
- 494 ÷ 10 = 49.4 — not a whole number
- 494 ÷ 11 = 44.909 — not a whole number
- 494 ÷ 12 = 41.167 — not a whole number
- 494 ÷ 13 = 38 — so 13 and 38 are factors
- 494 ÷ 14 = 35.286 — not a whole number
- 494 ÷ 15 = 32.933 — not a whole number
- 494 ÷ 16 = 30.875 — not a whole number
- 494 ÷ 17 = 29.059 — not a whole number
- 494 ÷ 18 = 27.444 — not a whole number
- 494 ÷ 19 = 26 — so 19 and 26 are factors
- 494 ÷ 20 = 24.7 — not a whole number
- 494 ÷ 21 = 23.524 — not a whole number
- 494 ÷ 22 = 22.455 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1, 2, 13, 19, 26, 38, 247 and 494.
Prime factorization of 494
Divide by the smallest prime that fits, and keep going until the quotient is 1:
The primes you divided by give 494 = 2 × 13 × 19. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.
Properties of 494
- 494 is a composite number.
- The sum of all its factors is 840; the sum of its proper factors (excluding 494) is 346, which makes it a deficient number (its proper factors add up to less than itself).
- 494 is not a perfect square, so its factors pair up evenly.
- Multiples of 494 include 988, 1,482, 1,976, 2,470 and so on.
Factors vs. multiples
Factors of 494 are the numbers that divide into it; multiples of 494 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 494?
The factors of 494 are 1, 2, 13, 19, 26, 38, 247 and 494. Each of these divides 494 with no remainder.
How many factors does 494 have?
494 has 8 positive factors, which form 4 factor pairs. Counting negative factors as well doubles that to 16.
What is the prime factorization of 494?
494 = 2 × 13 × 19. Its distinct prime factors are 2, 13 and 19.
Is 494 a prime number?
No. 494 is composite because it has 8 factors, more than the two a prime number has.