Factors of 858

858 has 16 factors: 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429 and 858. Its prime factorization is 2 × 3 × 11 × 13.

Factor pairs of 858

Factor×FactorProduct
1×858858
2×429858
3×286858
6×143858
11×78858
13×66858
22×39858
26×33858

Negative pairs work too: (−1) × (−858), (−2) × (−429), … = 858.

Number of factors
16
Factor pairs
8
Sum of factors
2,016
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2 × 3 × 11 × 13

How to find the factors of 858

Test every whole number from 1 up to the square root of 858 (√858 ≈ 29.292). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 858 ÷ 1 = 858 — so 1 and 858 are factors
  • 858 ÷ 2 = 429 — so 2 and 429 are factors
  • 858 ÷ 3 = 286 — so 3 and 286 are factors
  • 858 ÷ 4 = 214.5 — not a whole number
  • 858 ÷ 5 = 171.6 — not a whole number
  • 858 ÷ 6 = 143 — so 6 and 143 are factors
  • 858 ÷ 7 = 122.571 — not a whole number
  • 858 ÷ 8 = 107.25 — not a whole number
  • 858 ÷ 9 = 95.333 — not a whole number
  • 858 ÷ 10 = 85.8 — not a whole number
  • 858 ÷ 11 = 78 — so 11 and 78 are factors
  • 858 ÷ 12 = 71.5 — not a whole number
  • 858 ÷ 13 = 66 — so 13 and 66 are factors
  • 858 ÷ 14 = 61.286 — not a whole number
  • 858 ÷ 15 = 57.2 — not a whole number
  • 858 ÷ 16 = 53.625 — not a whole number
  • 858 ÷ 17 = 50.471 — not a whole number
  • 858 ÷ 18 = 47.667 — not a whole number
  • 858 ÷ 19 = 45.158 — not a whole number
  • 858 ÷ 20 = 42.9 — not a whole number
  • 858 ÷ 21 = 40.857 — not a whole number
  • 858 ÷ 22 = 39 — so 22 and 39 are factors
  • 858 ÷ 23 = 37.304 — not a whole number
  • 858 ÷ 24 = 35.75 — not a whole number
  • 858 ÷ 25 = 34.32 — not a whole number
  • 858 ÷ 26 = 33 — so 26 and 33 are factors
  • 858 ÷ 27 = 31.778 — not a whole number
  • 858 ÷ 28 = 30.643 — not a whole number
  • 858 ÷ 29 = 29.586 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429 and 858.

Prime factorization of 858

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

858 ÷ 2 = 429
429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1

The primes you divided by give 858 = 2 × 3 × 11 × 13. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 858

  • 858 is a composite number.
  • The sum of all its factors is 2,016; the sum of its proper factors (excluding 858) is 1,158, which makes it a abundant number (its proper factors add up to more than itself).
  • 858 is not a perfect square, so its factors pair up evenly.
  • Multiples of 858 include 1,716, 2,574, 3,432, 4,290 and so on.

Factors vs. multiples

Factors of 858 are the numbers that divide into it; multiples of 858 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 858?

The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429 and 858. Each of these divides 858 with no remainder.

How many factors does 858 have?

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

What is the prime factorization of 858?

858 = 2 × 3 × 11 × 13. Its distinct prime factors are 2, 3, 11 and 13.

Is 858 a prime number?

No. 858 is composite because it has 16 factors, more than the two a prime number has.