Factors of 424

How to find the factors of 424

Test every whole number from 1 up to the square root of 424 (√424 ≈ 20.591). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 424 ÷ 1 = 424 — so 1 and 424 are factors
• 424 ÷ 2 = 212 — so 2 and 212 are factors
• 424 ÷ 3 = 141.333 — not a whole number
• 424 ÷ 4 = 106 — so 4 and 106 are factors
• 424 ÷ 5 = 84.8 — not a whole number
• 424 ÷ 6 = 70.667 — not a whole number
• 424 ÷ 7 = 60.571 — not a whole number
• 424 ÷ 8 = 53 — so 8 and 53 are factors
• 424 ÷ 9 = 47.111 — not a whole number
• 424 ÷ 10 = 42.4 — not a whole number
• 424 ÷ 11 = 38.545 — not a whole number
• 424 ÷ 12 = 35.333 — not a whole number
• 424 ÷ 13 = 32.615 — not a whole number
• 424 ÷ 14 = 30.286 — not a whole number
• 424 ÷ 15 = 28.267 — not a whole number
• 424 ÷ 16 = 26.5 — not a whole number
• 424 ÷ 17 = 24.941 — not a whole number
• 424 ÷ 18 = 23.556 — not a whole number
• 424 ÷ 19 = 22.316 — not a whole number
• 424 ÷ 20 = 21.2 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 53, 106, 212 and 424.

Prime factorization of 424

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

The primes you divided by give 424 = 2³ × 53. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 424

• 424 is a composite number.
• The sum of all its factors is 810; the sum of its proper factors (excluding 424) is 386, which makes it a deficient number (its proper factors add up to less than itself).
• 424 is not a perfect square, so its factors pair up evenly.
• Multiples of 424 include 848, 1,272, 1,696, 2,120 and so on.

Factors vs. multiples

Factors of 424 are the numbers that divide into it; multiples of 424 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.