Factors of 384

How to find the factors of 384

Test every whole number from 1 up to the square root of 384 (√384 ≈ 19.596). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 384 ÷ 1 = 384 — so 1 and 384 are factors
• 384 ÷ 2 = 192 — so 2 and 192 are factors
• 384 ÷ 3 = 128 — so 3 and 128 are factors
• 384 ÷ 4 = 96 — so 4 and 96 are factors
• 384 ÷ 5 = 76.8 — not a whole number
• 384 ÷ 6 = 64 — so 6 and 64 are factors
• 384 ÷ 7 = 54.857 — not a whole number
• 384 ÷ 8 = 48 — so 8 and 48 are factors
• 384 ÷ 9 = 42.667 — not a whole number
• 384 ÷ 10 = 38.4 — not a whole number
• 384 ÷ 11 = 34.909 — not a whole number
• 384 ÷ 12 = 32 — so 12 and 32 are factors
• 384 ÷ 13 = 29.538 — not a whole number
• 384 ÷ 14 = 27.429 — not a whole number
• 384 ÷ 15 = 25.6 — not a whole number
• 384 ÷ 16 = 24 — so 16 and 24 are factors
• 384 ÷ 17 = 22.588 — not a whole number
• 384 ÷ 18 = 21.333 — not a whole number
• 384 ÷ 19 = 20.211 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192 and 384.

Prime factorization of 384

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

The primes you divided by give 384 = 2⁷ × 3. From the exponents you can also count the factors without listing them: (7 + 1) × (1 + 1) = 16.

Properties of 384

• 384 is a composite number.
• The sum of all its factors is 1,020; the sum of its proper factors (excluding 384) is 636, which makes it a abundant number (its proper factors add up to more than itself).
• 384 is not a perfect square, so its factors pair up evenly.
• Multiples of 384 include 768, 1,152, 1,536, 1,920 and so on.

Factors vs. multiples

Factors of 384 are the numbers that divide into it; multiples of 384 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.