Factors of 348

How to find the factors of 348

Test every whole number from 1 up to the square root of 348 (√348 ≈ 18.655). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 348 ÷ 1 = 348 — so 1 and 348 are factors
• 348 ÷ 2 = 174 — so 2 and 174 are factors
• 348 ÷ 3 = 116 — so 3 and 116 are factors
• 348 ÷ 4 = 87 — so 4 and 87 are factors
• 348 ÷ 5 = 69.6 — not a whole number
• 348 ÷ 6 = 58 — so 6 and 58 are factors
• 348 ÷ 7 = 49.714 — not a whole number
• 348 ÷ 8 = 43.5 — not a whole number
• 348 ÷ 9 = 38.667 — not a whole number
• 348 ÷ 10 = 34.8 — not a whole number
• 348 ÷ 11 = 31.636 — not a whole number
• 348 ÷ 12 = 29 — so 12 and 29 are factors
• 348 ÷ 13 = 26.769 — not a whole number
• 348 ÷ 14 = 24.857 — not a whole number
• 348 ÷ 15 = 23.2 — not a whole number
• 348 ÷ 16 = 21.75 — not a whole number
• 348 ÷ 17 = 20.471 — not a whole number
• 348 ÷ 18 = 19.333 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174 and 348.

Prime factorization of 348

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

The primes you divided by give 348 = 2² × 3 × 29. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 348

• 348 is a composite number.
• The sum of all its factors is 840; the sum of its proper factors (excluding 348) is 492, which makes it a abundant number (its proper factors add up to more than itself).
• 348 is not a perfect square, so its factors pair up evenly.
• Multiples of 348 include 696, 1,044, 1,392, 1,740 and so on.

Factors vs. multiples

Factors of 348 are the numbers that divide into it; multiples of 348 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.