Factors of 344

How to find the factors of 344

Test every whole number from 1 up to the square root of 344 (√344 ≈ 18.547). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 344 ÷ 1 = 344 — so 1 and 344 are factors
• 344 ÷ 2 = 172 — so 2 and 172 are factors
• 344 ÷ 3 = 114.667 — not a whole number
• 344 ÷ 4 = 86 — so 4 and 86 are factors
• 344 ÷ 5 = 68.8 — not a whole number
• 344 ÷ 6 = 57.333 — not a whole number
• 344 ÷ 7 = 49.143 — not a whole number
• 344 ÷ 8 = 43 — so 8 and 43 are factors
• 344 ÷ 9 = 38.222 — not a whole number
• 344 ÷ 10 = 34.4 — not a whole number
• 344 ÷ 11 = 31.273 — not a whole number
• 344 ÷ 12 = 28.667 — not a whole number
• 344 ÷ 13 = 26.462 — not a whole number
• 344 ÷ 14 = 24.571 — not a whole number
• 344 ÷ 15 = 22.933 — not a whole number
• 344 ÷ 16 = 21.5 — not a whole number
• 344 ÷ 17 = 20.235 — not a whole number
• 344 ÷ 18 = 19.111 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 43, 86, 172 and 344.

Prime factorization of 344

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

The primes you divided by give 344 = 2³ × 43. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 344

• 344 is a composite number.
• The sum of all its factors is 660; the sum of its proper factors (excluding 344) is 316, which makes it a deficient number (its proper factors add up to less than itself).
• 344 is not a perfect square, so its factors pair up evenly.
• Multiples of 344 include 688, 1,032, 1,376, 1,720 and so on.

Factors vs. multiples

Factors of 344 are the numbers that divide into it; multiples of 344 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.