Factors of 330

How to find the factors of 330

Test every whole number from 1 up to the square root of 330 (√330 ≈ 18.166). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 330 ÷ 1 = 330 — so 1 and 330 are factors
• 330 ÷ 2 = 165 — so 2 and 165 are factors
• 330 ÷ 3 = 110 — so 3 and 110 are factors
• 330 ÷ 4 = 82.5 — not a whole number
• 330 ÷ 5 = 66 — so 5 and 66 are factors
• 330 ÷ 6 = 55 — so 6 and 55 are factors
• 330 ÷ 7 = 47.143 — not a whole number
• 330 ÷ 8 = 41.25 — not a whole number
• 330 ÷ 9 = 36.667 — not a whole number
• 330 ÷ 10 = 33 — so 10 and 33 are factors
• 330 ÷ 11 = 30 — so 11 and 30 are factors
• 330 ÷ 12 = 27.5 — not a whole number
• 330 ÷ 13 = 25.385 — not a whole number
• 330 ÷ 14 = 23.571 — not a whole number
• 330 ÷ 15 = 22 — so 15 and 22 are factors
• 330 ÷ 16 = 20.625 — not a whole number
• 330 ÷ 17 = 19.412 — not a whole number
• 330 ÷ 18 = 18.333 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165 and 330.

Prime factorization of 330

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

The primes you divided by give 330 = 2 × 3 × 5 × 11. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 330

• 330 is a composite number.
• The sum of all its factors is 864; the sum of its proper factors (excluding 330) is 534, which makes it a abundant number (its proper factors add up to more than itself).
• 330 is not a perfect square, so its factors pair up evenly.
• Multiples of 330 include 660, 990, 1,320, 1,650 and so on.

Factors vs. multiples

Factors of 330 are the numbers that divide into it; multiples of 330 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.