Factors of 920

How to find the factors of 920

Test every whole number from 1 up to the square root of 920 (√920 ≈ 30.332). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 920 ÷ 1 = 920 — so 1 and 920 are factors
• 920 ÷ 2 = 460 — so 2 and 460 are factors
• 920 ÷ 3 = 306.667 — not a whole number
• 920 ÷ 4 = 230 — so 4 and 230 are factors
• 920 ÷ 5 = 184 — so 5 and 184 are factors
• 920 ÷ 6 = 153.333 — not a whole number
• 920 ÷ 7 = 131.429 — not a whole number
• 920 ÷ 8 = 115 — so 8 and 115 are factors
• 920 ÷ 9 = 102.222 — not a whole number
• 920 ÷ 10 = 92 — so 10 and 92 are factors
• 920 ÷ 11 = 83.636 — not a whole number
• 920 ÷ 12 = 76.667 — not a whole number
• 920 ÷ 13 = 70.769 — not a whole number
• 920 ÷ 14 = 65.714 — not a whole number
• 920 ÷ 15 = 61.333 — not a whole number
• 920 ÷ 16 = 57.5 — not a whole number
• 920 ÷ 17 = 54.118 — not a whole number
• 920 ÷ 18 = 51.111 — not a whole number
• 920 ÷ 19 = 48.421 — not a whole number
• 920 ÷ 20 = 46 — so 20 and 46 are factors
• 920 ÷ 21 = 43.81 — not a whole number
• 920 ÷ 22 = 41.818 — not a whole number
• 920 ÷ 23 = 40 — so 23 and 40 are factors
• 920 ÷ 24 = 38.333 — not a whole number
• 920 ÷ 25 = 36.8 — not a whole number
• 920 ÷ 26 = 35.385 — not a whole number
• 920 ÷ 27 = 34.074 — not a whole number
• 920 ÷ 28 = 32.857 — not a whole number
• 920 ÷ 29 = 31.724 — not a whole number
• 920 ÷ 30 = 30.667 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460 and 920.

Prime factorization of 920

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

The primes you divided by give 920 = 2³ × 5 × 23. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 920

• 920 is a composite number.
• The sum of all its factors is 2,160; the sum of its proper factors (excluding 920) is 1,240, which makes it a abundant number (its proper factors add up to more than itself).
• 920 is not a perfect square, so its factors pair up evenly.
• Multiples of 920 include 1,840, 2,760, 3,680, 4,600 and so on.

Factors vs. multiples

Factors of 920 are the numbers that divide into it; multiples of 920 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.