Factors of 324

How to find the factors of 324

Test every whole number from 1 up to the square root of 324 (√324 ≈ 18.000). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 324 ÷ 1 = 324 — so 1 and 324 are factors
• 324 ÷ 2 = 162 — so 2 and 162 are factors
• 324 ÷ 3 = 108 — so 3 and 108 are factors
• 324 ÷ 4 = 81 — so 4 and 81 are factors
• 324 ÷ 5 = 64.8 — not a whole number
• 324 ÷ 6 = 54 — so 6 and 54 are factors
• 324 ÷ 7 = 46.286 — not a whole number
• 324 ÷ 8 = 40.5 — not a whole number
• 324 ÷ 9 = 36 — so 9 and 36 are factors
• 324 ÷ 10 = 32.4 — not a whole number
• 324 ÷ 11 = 29.455 — not a whole number
• 324 ÷ 12 = 27 — so 12 and 27 are factors
• 324 ÷ 13 = 24.923 — not a whole number
• 324 ÷ 14 = 23.143 — not a whole number
• 324 ÷ 15 = 21.6 — not a whole number
• 324 ÷ 16 = 20.25 — not a whole number
• 324 ÷ 17 = 19.059 — not a whole number
• 324 ÷ 18 = 18 — so 18 and 18 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162 and 324.

Prime factorization of 324

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

The primes you divided by give 324 = 2² × 3⁴. From the exponents you can also count the factors without listing them: (2 + 1) × (4 + 1) = 15.

Properties of 324

• 324 is a composite number.
• The sum of all its factors is 847; the sum of its proper factors (excluding 324) is 523, which makes it a abundant number (its proper factors add up to more than itself).
• 324 is a perfect square: 18 × 18. Perfect squares always have an odd number of factors.
• Multiples of 324 include 648, 972, 1,296, 1,620 and so on.

Factors vs. multiples

Factors of 324 are the numbers that divide into it; multiples of 324 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.