Factors of 304

How to find the factors of 304

Test every whole number from 1 up to the square root of 304 (√304 ≈ 17.436). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 304 ÷ 1 = 304 — so 1 and 304 are factors
• 304 ÷ 2 = 152 — so 2 and 152 are factors
• 304 ÷ 3 = 101.333 — not a whole number
• 304 ÷ 4 = 76 — so 4 and 76 are factors
• 304 ÷ 5 = 60.8 — not a whole number
• 304 ÷ 6 = 50.667 — not a whole number
• 304 ÷ 7 = 43.429 — not a whole number
• 304 ÷ 8 = 38 — so 8 and 38 are factors
• 304 ÷ 9 = 33.778 — not a whole number
• 304 ÷ 10 = 30.4 — not a whole number
• 304 ÷ 11 = 27.636 — not a whole number
• 304 ÷ 12 = 25.333 — not a whole number
• 304 ÷ 13 = 23.385 — not a whole number
• 304 ÷ 14 = 21.714 — not a whole number
• 304 ÷ 15 = 20.267 — not a whole number
• 304 ÷ 16 = 19 — so 16 and 19 are factors
• 304 ÷ 17 = 17.882 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 16, 19, 38, 76, 152 and 304.

Prime factorization of 304

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

The primes you divided by give 304 = 2⁴ × 19. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.

Properties of 304

• 304 is a composite number.
• The sum of all its factors is 620; the sum of its proper factors (excluding 304) is 316, which makes it a abundant number (its proper factors add up to more than itself).
• 304 is not a perfect square, so its factors pair up evenly.
• Multiples of 304 include 608, 912, 1,216, 1,520 and so on.

Factors vs. multiples

Factors of 304 are the numbers that divide into it; multiples of 304 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.