Factors of 329

How to find the factors of 329

Test every whole number from 1 up to the square root of 329 (√329 ≈ 18.138). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 329 ÷ 1 = 329 — so 1 and 329 are factors
• 329 ÷ 2 = 164.5 — not a whole number
• 329 ÷ 3 = 109.667 — not a whole number
• 329 ÷ 4 = 82.25 — not a whole number
• 329 ÷ 5 = 65.8 — not a whole number
• 329 ÷ 6 = 54.833 — not a whole number
• 329 ÷ 7 = 47 — so 7 and 47 are factors
• 329 ÷ 8 = 41.125 — not a whole number
• 329 ÷ 9 = 36.556 — not a whole number
• 329 ÷ 10 = 32.9 — not a whole number
• 329 ÷ 11 = 29.909 — not a whole number
• 329 ÷ 12 = 27.417 — not a whole number
• 329 ÷ 13 = 25.308 — not a whole number
• 329 ÷ 14 = 23.5 — not a whole number
• 329 ÷ 15 = 21.933 — not a whole number
• 329 ÷ 16 = 20.563 — not a whole number
• 329 ÷ 17 = 19.353 — not a whole number
• 329 ÷ 18 = 18.278 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 7, 47 and 329.

Prime factorization of 329

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

The primes you divided by give 329 = 7 × 47. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 329

• 329 is a composite number.
• The sum of all its factors is 384; the sum of its proper factors (excluding 329) is 55, which makes it a deficient number (its proper factors add up to less than itself).
• 329 is not a perfect square, so its factors pair up evenly.
• Multiples of 329 include 658, 987, 1,316, 1,645 and so on.

Factors vs. multiples

Factors of 329 are the numbers that divide into it; multiples of 329 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.