Factors of 842

How to find the factors of 842

Test every whole number from 1 up to the square root of 842 (√842 ≈ 29.017). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 842 ÷ 1 = 842 — so 1 and 842 are factors
• 842 ÷ 2 = 421 — so 2 and 421 are factors
• 842 ÷ 3 = 280.667 — not a whole number
• 842 ÷ 4 = 210.5 — not a whole number
• 842 ÷ 5 = 168.4 — not a whole number
• 842 ÷ 6 = 140.333 — not a whole number
• 842 ÷ 7 = 120.286 — not a whole number
• 842 ÷ 8 = 105.25 — not a whole number
• 842 ÷ 9 = 93.556 — not a whole number
• 842 ÷ 10 = 84.2 — not a whole number
• 842 ÷ 11 = 76.545 — not a whole number
• 842 ÷ 12 = 70.167 — not a whole number
• 842 ÷ 13 = 64.769 — not a whole number
• 842 ÷ 14 = 60.143 — not a whole number
• 842 ÷ 15 = 56.133 — not a whole number
• 842 ÷ 16 = 52.625 — not a whole number
• 842 ÷ 17 = 49.529 — not a whole number
• 842 ÷ 18 = 46.778 — not a whole number
• 842 ÷ 19 = 44.316 — not a whole number
• 842 ÷ 20 = 42.1 — not a whole number
• 842 ÷ 21 = 40.095 — not a whole number
• 842 ÷ 22 = 38.273 — not a whole number
• 842 ÷ 23 = 36.609 — not a whole number
• 842 ÷ 24 = 35.083 — not a whole number
• 842 ÷ 25 = 33.68 — not a whole number
• 842 ÷ 26 = 32.385 — not a whole number
• 842 ÷ 27 = 31.185 — not a whole number
• 842 ÷ 28 = 30.071 — not a whole number
• 842 ÷ 29 = 29.034 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 421 and 842.

Prime factorization of 842

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

The primes you divided by give 842 = 2 × 421. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 842

• 842 is a composite number.
• The sum of all its factors is 1,266; the sum of its proper factors (excluding 842) is 424, which makes it a deficient number (its proper factors add up to less than itself).
• 842 is not a perfect square, so its factors pair up evenly.
• Multiples of 842 include 1,684, 2,526, 3,368, 4,210 and so on.

Factors vs. multiples

Factors of 842 are the numbers that divide into it; multiples of 842 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.