Factors of 328

How to find the factors of 328

Test every whole number from 1 up to the square root of 328 (√328 ≈ 18.111). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 328 ÷ 1 = 328 — so 1 and 328 are factors
• 328 ÷ 2 = 164 — so 2 and 164 are factors
• 328 ÷ 3 = 109.333 — not a whole number
• 328 ÷ 4 = 82 — so 4 and 82 are factors
• 328 ÷ 5 = 65.6 — not a whole number
• 328 ÷ 6 = 54.667 — not a whole number
• 328 ÷ 7 = 46.857 — not a whole number
• 328 ÷ 8 = 41 — so 8 and 41 are factors
• 328 ÷ 9 = 36.444 — not a whole number
• 328 ÷ 10 = 32.8 — not a whole number
• 328 ÷ 11 = 29.818 — not a whole number
• 328 ÷ 12 = 27.333 — not a whole number
• 328 ÷ 13 = 25.231 — not a whole number
• 328 ÷ 14 = 23.429 — not a whole number
• 328 ÷ 15 = 21.867 — not a whole number
• 328 ÷ 16 = 20.5 — not a whole number
• 328 ÷ 17 = 19.294 — not a whole number
• 328 ÷ 18 = 18.222 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 41, 82, 164 and 328.

Prime factorization of 328

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

The primes you divided by give 328 = 2³ × 41. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 328

• 328 is a composite number.
• The sum of all its factors is 630; the sum of its proper factors (excluding 328) is 302, which makes it a deficient number (its proper factors add up to less than itself).
• 328 is not a perfect square, so its factors pair up evenly.
• Multiples of 328 include 656, 984, 1,312, 1,640 and so on.

Factors vs. multiples

Factors of 328 are the numbers that divide into it; multiples of 328 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.