Factors of 327

How to find the factors of 327

Test every whole number from 1 up to the square root of 327 (√327 ≈ 18.083). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 327 ÷ 1 = 327 — so 1 and 327 are factors
• 327 ÷ 2 = 163.5 — not a whole number
• 327 ÷ 3 = 109 — so 3 and 109 are factors
• 327 ÷ 4 = 81.75 — not a whole number
• 327 ÷ 5 = 65.4 — not a whole number
• 327 ÷ 6 = 54.5 — not a whole number
• 327 ÷ 7 = 46.714 — not a whole number
• 327 ÷ 8 = 40.875 — not a whole number
• 327 ÷ 9 = 36.333 — not a whole number
• 327 ÷ 10 = 32.7 — not a whole number
• 327 ÷ 11 = 29.727 — not a whole number
• 327 ÷ 12 = 27.25 — not a whole number
• 327 ÷ 13 = 25.154 — not a whole number
• 327 ÷ 14 = 23.357 — not a whole number
• 327 ÷ 15 = 21.8 — not a whole number
• 327 ÷ 16 = 20.438 — not a whole number
• 327 ÷ 17 = 19.235 — not a whole number
• 327 ÷ 18 = 18.167 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 109 and 327.

Prime factorization of 327

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

The primes you divided by give 327 = 3 × 109. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 327

• 327 is a composite number.
• The sum of all its factors is 440; the sum of its proper factors (excluding 327) is 113, which makes it a deficient number (its proper factors add up to less than itself).
• 327 is not a perfect square, so its factors pair up evenly.
• Multiples of 327 include 654, 981, 1,308, 1,635 and so on.

Factors vs. multiples

Factors of 327 are the numbers that divide into it; multiples of 327 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.