Factors of 320

How to find the factors of 320

Test every whole number from 1 up to the square root of 320 (√320 ≈ 17.889). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 320 ÷ 1 = 320 — so 1 and 320 are factors
• 320 ÷ 2 = 160 — so 2 and 160 are factors
• 320 ÷ 3 = 106.667 — not a whole number
• 320 ÷ 4 = 80 — so 4 and 80 are factors
• 320 ÷ 5 = 64 — so 5 and 64 are factors
• 320 ÷ 6 = 53.333 — not a whole number
• 320 ÷ 7 = 45.714 — not a whole number
• 320 ÷ 8 = 40 — so 8 and 40 are factors
• 320 ÷ 9 = 35.556 — not a whole number
• 320 ÷ 10 = 32 — so 10 and 32 are factors
• 320 ÷ 11 = 29.091 — not a whole number
• 320 ÷ 12 = 26.667 — not a whole number
• 320 ÷ 13 = 24.615 — not a whole number
• 320 ÷ 14 = 22.857 — not a whole number
• 320 ÷ 15 = 21.333 — not a whole number
• 320 ÷ 16 = 20 — so 16 and 20 are factors
• 320 ÷ 17 = 18.824 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160 and 320.

Prime factorization of 320

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

The primes you divided by give 320 = 2⁶ × 5. From the exponents you can also count the factors without listing them: (6 + 1) × (1 + 1) = 14.

Properties of 320

• 320 is a composite number.
• The sum of all its factors is 762; the sum of its proper factors (excluding 320) is 442, which makes it a abundant number (its proper factors add up to more than itself).
• 320 is not a perfect square, so its factors pair up evenly.
• Multiples of 320 include 640, 960, 1,280, 1,600 and so on.

Factors vs. multiples

Factors of 320 are the numbers that divide into it; multiples of 320 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.