Factors of 349

How to find the factors of 349

Test every whole number from 1 up to the square root of 349 (√349 ≈ 18.682). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 349 ÷ 1 = 349 — so 1 and 349 are factors
• 349 ÷ 2 = 174.5 — not a whole number
• 349 ÷ 3 = 116.333 — not a whole number
• 349 ÷ 4 = 87.25 — not a whole number
• 349 ÷ 5 = 69.8 — not a whole number
• 349 ÷ 6 = 58.167 — not a whole number
• 349 ÷ 7 = 49.857 — not a whole number
• 349 ÷ 8 = 43.625 — not a whole number
• 349 ÷ 9 = 38.778 — not a whole number
• 349 ÷ 10 = 34.9 — not a whole number
• 349 ÷ 11 = 31.727 — not a whole number
• 349 ÷ 12 = 29.083 — not a whole number
• 349 ÷ 13 = 26.846 — not a whole number
• 349 ÷ 14 = 24.929 — not a whole number
• 349 ÷ 15 = 23.267 — not a whole number
• 349 ÷ 16 = 21.813 — not a whole number
• 349 ÷ 17 = 20.529 — not a whole number
• 349 ÷ 18 = 19.389 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 349.

Prime factorization of 349

349 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 349.

Properties of 349

• 349 is a prime number.
• The sum of all its factors is 350; the sum of its proper factors (excluding 349) is 1, which makes it a deficient number (its proper factors add up to less than itself).
• 349 is not a perfect square, so its factors pair up evenly.
• Multiples of 349 include 698, 1,047, 1,396, 1,745 and so on.

Factors vs. multiples

Factors of 349 are the numbers that divide into it; multiples of 349 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.