Factors of 428

How to find the factors of 428

Test every whole number from 1 up to the square root of 428 (√428 ≈ 20.688). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 428 ÷ 1 = 428 — so 1 and 428 are factors
• 428 ÷ 2 = 214 — so 2 and 214 are factors
• 428 ÷ 3 = 142.667 — not a whole number
• 428 ÷ 4 = 107 — so 4 and 107 are factors
• 428 ÷ 5 = 85.6 — not a whole number
• 428 ÷ 6 = 71.333 — not a whole number
• 428 ÷ 7 = 61.143 — not a whole number
• 428 ÷ 8 = 53.5 — not a whole number
• 428 ÷ 9 = 47.556 — not a whole number
• 428 ÷ 10 = 42.8 — not a whole number
• 428 ÷ 11 = 38.909 — not a whole number
• 428 ÷ 12 = 35.667 — not a whole number
• 428 ÷ 13 = 32.923 — not a whole number
• 428 ÷ 14 = 30.571 — not a whole number
• 428 ÷ 15 = 28.533 — not a whole number
• 428 ÷ 16 = 26.75 — not a whole number
• 428 ÷ 17 = 25.176 — not a whole number
• 428 ÷ 18 = 23.778 — not a whole number
• 428 ÷ 19 = 22.526 — not a whole number
• 428 ÷ 20 = 21.4 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 107, 214 and 428.

Prime factorization of 428

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

The primes you divided by give 428 = 2² × 107. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 428

• 428 is a composite number.
• The sum of all its factors is 756; the sum of its proper factors (excluding 428) is 328, which makes it a deficient number (its proper factors add up to less than itself).
• 428 is not a perfect square, so its factors pair up evenly.
• Multiples of 428 include 856, 1,284, 1,712, 2,140 and so on.

Factors vs. multiples

Factors of 428 are the numbers that divide into it; multiples of 428 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.