Factors of 299

How to find the factors of 299

Test every whole number from 1 up to the square root of 299 (√299 ≈ 17.292). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 299 ÷ 1 = 299 — so 1 and 299 are factors
• 299 ÷ 2 = 149.5 — not a whole number
• 299 ÷ 3 = 99.667 — not a whole number
• 299 ÷ 4 = 74.75 — not a whole number
• 299 ÷ 5 = 59.8 — not a whole number
• 299 ÷ 6 = 49.833 — not a whole number
• 299 ÷ 7 = 42.714 — not a whole number
• 299 ÷ 8 = 37.375 — not a whole number
• 299 ÷ 9 = 33.222 — not a whole number
• 299 ÷ 10 = 29.9 — not a whole number
• 299 ÷ 11 = 27.182 — not a whole number
• 299 ÷ 12 = 24.917 — not a whole number
• 299 ÷ 13 = 23 — so 13 and 23 are factors
• 299 ÷ 14 = 21.357 — not a whole number
• 299 ÷ 15 = 19.933 — not a whole number
• 299 ÷ 16 = 18.688 — not a whole number
• 299 ÷ 17 = 17.588 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 13, 23 and 299.

Prime factorization of 299

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

The primes you divided by give 299 = 13 × 23. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 299

• 299 is a composite number.
• The sum of all its factors is 336; the sum of its proper factors (excluding 299) is 37, which makes it a deficient number (its proper factors add up to less than itself).
• 299 is not a perfect square, so its factors pair up evenly.
• Multiples of 299 include 598, 897, 1,196, 1,495 and so on.

Factors vs. multiples

Factors of 299 are the numbers that divide into it; multiples of 299 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.