Factors of 323

How to find the factors of 323

Test every whole number from 1 up to the square root of 323 (√323 ≈ 17.972). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 323 ÷ 1 = 323 — so 1 and 323 are factors
• 323 ÷ 2 = 161.5 — not a whole number
• 323 ÷ 3 = 107.667 — not a whole number
• 323 ÷ 4 = 80.75 — not a whole number
• 323 ÷ 5 = 64.6 — not a whole number
• 323 ÷ 6 = 53.833 — not a whole number
• 323 ÷ 7 = 46.143 — not a whole number
• 323 ÷ 8 = 40.375 — not a whole number
• 323 ÷ 9 = 35.889 — not a whole number
• 323 ÷ 10 = 32.3 — not a whole number
• 323 ÷ 11 = 29.364 — not a whole number
• 323 ÷ 12 = 26.917 — not a whole number
• 323 ÷ 13 = 24.846 — not a whole number
• 323 ÷ 14 = 23.071 — not a whole number
• 323 ÷ 15 = 21.533 — not a whole number
• 323 ÷ 16 = 20.188 — not a whole number
• 323 ÷ 17 = 19 — so 17 and 19 are factors

Collecting both numbers from every successful division gives the complete list: 1, 17, 19 and 323.

Prime factorization of 323

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

The primes you divided by give 323 = 17 × 19. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 323

• 323 is a composite number.
• The sum of all its factors is 360; the sum of its proper factors (excluding 323) is 37, which makes it a deficient number (its proper factors add up to less than itself).
• 323 is not a perfect square, so its factors pair up evenly.
• Multiples of 323 include 646, 969, 1,292, 1,615 and so on.

Factors vs. multiples

Factors of 323 are the numbers that divide into it; multiples of 323 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.