Factors of 297

How to find the factors of 297

Test every whole number from 1 up to the square root of 297 (√297 ≈ 17.234). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 297 ÷ 1 = 297 — so 1 and 297 are factors
• 297 ÷ 2 = 148.5 — not a whole number
• 297 ÷ 3 = 99 — so 3 and 99 are factors
• 297 ÷ 4 = 74.25 — not a whole number
• 297 ÷ 5 = 59.4 — not a whole number
• 297 ÷ 6 = 49.5 — not a whole number
• 297 ÷ 7 = 42.429 — not a whole number
• 297 ÷ 8 = 37.125 — not a whole number
• 297 ÷ 9 = 33 — so 9 and 33 are factors
• 297 ÷ 10 = 29.7 — not a whole number
• 297 ÷ 11 = 27 — so 11 and 27 are factors
• 297 ÷ 12 = 24.75 — not a whole number
• 297 ÷ 13 = 22.846 — not a whole number
• 297 ÷ 14 = 21.214 — not a whole number
• 297 ÷ 15 = 19.8 — not a whole number
• 297 ÷ 16 = 18.563 — not a whole number
• 297 ÷ 17 = 17.471 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 9, 11, 27, 33, 99 and 297.

Prime factorization of 297

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

The primes you divided by give 297 = 3³ × 11. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 297

• 297 is a composite number.
• The sum of all its factors is 480; the sum of its proper factors (excluding 297) is 183, which makes it a deficient number (its proper factors add up to less than itself).
• 297 is not a perfect square, so its factors pair up evenly.
• Multiples of 297 include 594, 891, 1,188, 1,485 and so on.

Factors vs. multiples

Factors of 297 are the numbers that divide into it; multiples of 297 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.