Factors of 333

How to find the factors of 333

Test every whole number from 1 up to the square root of 333 (√333 ≈ 18.248). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 333 ÷ 1 = 333 — so 1 and 333 are factors
• 333 ÷ 2 = 166.5 — not a whole number
• 333 ÷ 3 = 111 — so 3 and 111 are factors
• 333 ÷ 4 = 83.25 — not a whole number
• 333 ÷ 5 = 66.6 — not a whole number
• 333 ÷ 6 = 55.5 — not a whole number
• 333 ÷ 7 = 47.571 — not a whole number
• 333 ÷ 8 = 41.625 — not a whole number
• 333 ÷ 9 = 37 — so 9 and 37 are factors
• 333 ÷ 10 = 33.3 — not a whole number
• 333 ÷ 11 = 30.273 — not a whole number
• 333 ÷ 12 = 27.75 — not a whole number
• 333 ÷ 13 = 25.615 — not a whole number
• 333 ÷ 14 = 23.786 — not a whole number
• 333 ÷ 15 = 22.2 — not a whole number
• 333 ÷ 16 = 20.813 — not a whole number
• 333 ÷ 17 = 19.588 — not a whole number
• 333 ÷ 18 = 18.5 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 9, 37, 111 and 333.

Prime factorization of 333

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

The primes you divided by give 333 = 3² × 37. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 333

• 333 is a composite number.
• The sum of all its factors is 494; the sum of its proper factors (excluding 333) is 161, which makes it a deficient number (its proper factors add up to less than itself).
• 333 is not a perfect square, so its factors pair up evenly.
• Multiples of 333 include 666, 999, 1,332, 1,665 and so on.

Factors vs. multiples

Factors of 333 are the numbers that divide into it; multiples of 333 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.