Factors of 335

How to find the factors of 335

Test every whole number from 1 up to the square root of 335 (√335 ≈ 18.303). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 335 ÷ 1 = 335 — so 1 and 335 are factors
• 335 ÷ 2 = 167.5 — not a whole number
• 335 ÷ 3 = 111.667 — not a whole number
• 335 ÷ 4 = 83.75 — not a whole number
• 335 ÷ 5 = 67 — so 5 and 67 are factors
• 335 ÷ 6 = 55.833 — not a whole number
• 335 ÷ 7 = 47.857 — not a whole number
• 335 ÷ 8 = 41.875 — not a whole number
• 335 ÷ 9 = 37.222 — not a whole number
• 335 ÷ 10 = 33.5 — not a whole number
• 335 ÷ 11 = 30.455 — not a whole number
• 335 ÷ 12 = 27.917 — not a whole number
• 335 ÷ 13 = 25.769 — not a whole number
• 335 ÷ 14 = 23.929 — not a whole number
• 335 ÷ 15 = 22.333 — not a whole number
• 335 ÷ 16 = 20.938 — not a whole number
• 335 ÷ 17 = 19.706 — not a whole number
• 335 ÷ 18 = 18.611 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 5, 67 and 335.

Prime factorization of 335

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

The primes you divided by give 335 = 5 × 67. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 335

• 335 is a composite number.
• The sum of all its factors is 408; the sum of its proper factors (excluding 335) is 73, which makes it a deficient number (its proper factors add up to less than itself).
• 335 is not a perfect square, so its factors pair up evenly.
• Multiples of 335 include 670, 1,005, 1,340, 1,675 and so on.

Factors vs. multiples

Factors of 335 are the numbers that divide into it; multiples of 335 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.