Factors of 336

How to find the factors of 336

Test every whole number from 1 up to the square root of 336 (√336 ≈ 18.330). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 336 ÷ 1 = 336 — so 1 and 336 are factors
• 336 ÷ 2 = 168 — so 2 and 168 are factors
• 336 ÷ 3 = 112 — so 3 and 112 are factors
• 336 ÷ 4 = 84 — so 4 and 84 are factors
• 336 ÷ 5 = 67.2 — not a whole number
• 336 ÷ 6 = 56 — so 6 and 56 are factors
• 336 ÷ 7 = 48 — so 7 and 48 are factors
• 336 ÷ 8 = 42 — so 8 and 42 are factors
• 336 ÷ 9 = 37.333 — not a whole number
• 336 ÷ 10 = 33.6 — not a whole number
• 336 ÷ 11 = 30.545 — not a whole number
• 336 ÷ 12 = 28 — so 12 and 28 are factors
• 336 ÷ 13 = 25.846 — not a whole number
• 336 ÷ 14 = 24 — so 14 and 24 are factors
• 336 ÷ 15 = 22.4 — not a whole number
• 336 ÷ 16 = 21 — so 16 and 21 are factors
• 336 ÷ 17 = 19.765 — not a whole number
• 336 ÷ 18 = 18.667 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168 and 336.

Prime factorization of 336

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

The primes you divided by give 336 = 2⁴ × 3 × 7. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) × (1 + 1) = 20.

Properties of 336

• 336 is a composite number.
• The sum of all its factors is 992; the sum of its proper factors (excluding 336) is 656, which makes it a abundant number (its proper factors add up to more than itself).
• 336 is not a perfect square, so its factors pair up evenly.
• Multiples of 336 include 672, 1,008, 1,344, 1,680 and so on.

Factors vs. multiples

Factors of 336 are the numbers that divide into it; multiples of 336 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.