Factors of 421

How to find the factors of 421

Test every whole number from 1 up to the square root of 421 (√421 ≈ 20.518). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 421 ÷ 1 = 421 — so 1 and 421 are factors
• 421 ÷ 2 = 210.5 — not a whole number
• 421 ÷ 3 = 140.333 — not a whole number
• 421 ÷ 4 = 105.25 — not a whole number
• 421 ÷ 5 = 84.2 — not a whole number
• 421 ÷ 6 = 70.167 — not a whole number
• 421 ÷ 7 = 60.143 — not a whole number
• 421 ÷ 8 = 52.625 — not a whole number
• 421 ÷ 9 = 46.778 — not a whole number
• 421 ÷ 10 = 42.1 — not a whole number
• 421 ÷ 11 = 38.273 — not a whole number
• 421 ÷ 12 = 35.083 — not a whole number
• 421 ÷ 13 = 32.385 — not a whole number
• 421 ÷ 14 = 30.071 — not a whole number
• 421 ÷ 15 = 28.067 — not a whole number
• 421 ÷ 16 = 26.313 — not a whole number
• 421 ÷ 17 = 24.765 — not a whole number
• 421 ÷ 18 = 23.389 — not a whole number
• 421 ÷ 19 = 22.158 — not a whole number
• 421 ÷ 20 = 21.05 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1 and 421.

Prime factorization of 421

421 is a prime number, so it cannot be broken down any further. Its prime factorization is simply 421.

Properties of 421

• 421 is a prime number.
• The sum of all its factors is 422; the sum of its proper factors (excluding 421) is 1, which makes it a deficient number (its proper factors add up to less than itself).
• 421 is not a perfect square, so its factors pair up evenly.
• Multiples of 421 include 842, 1,263, 1,684, 2,105 and so on.

Factors vs. multiples

Factors of 421 are the numbers that divide into it; multiples of 421 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.