Factors of 385

How to find the factors of 385

Test every whole number from 1 up to the square root of 385 (√385 ≈ 19.621). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 385 ÷ 1 = 385 — so 1 and 385 are factors
• 385 ÷ 2 = 192.5 — not a whole number
• 385 ÷ 3 = 128.333 — not a whole number
• 385 ÷ 4 = 96.25 — not a whole number
• 385 ÷ 5 = 77 — so 5 and 77 are factors
• 385 ÷ 6 = 64.167 — not a whole number
• 385 ÷ 7 = 55 — so 7 and 55 are factors
• 385 ÷ 8 = 48.125 — not a whole number
• 385 ÷ 9 = 42.778 — not a whole number
• 385 ÷ 10 = 38.5 — not a whole number
• 385 ÷ 11 = 35 — so 11 and 35 are factors
• 385 ÷ 12 = 32.083 — not a whole number
• 385 ÷ 13 = 29.615 — not a whole number
• 385 ÷ 14 = 27.5 — not a whole number
• 385 ÷ 15 = 25.667 — not a whole number
• 385 ÷ 16 = 24.063 — not a whole number
• 385 ÷ 17 = 22.647 — not a whole number
• 385 ÷ 18 = 21.389 — not a whole number
• 385 ÷ 19 = 20.263 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 5, 7, 11, 35, 55, 77 and 385.

Prime factorization of 385

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

The primes you divided by give 385 = 5 × 7 × 11. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 385

• 385 is a composite number.
• The sum of all its factors is 576; the sum of its proper factors (excluding 385) is 191, which makes it a deficient number (its proper factors add up to less than itself).
• 385 is not a perfect square, so its factors pair up evenly.
• Multiples of 385 include 770, 1,155, 1,540, 1,925 and so on.

Factors vs. multiples

Factors of 385 are the numbers that divide into it; multiples of 385 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.