Factors of 427

How to find the factors of 427

Test every whole number from 1 up to the square root of 427 (√427 ≈ 20.664). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 427 ÷ 1 = 427 — so 1 and 427 are factors
• 427 ÷ 2 = 213.5 — not a whole number
• 427 ÷ 3 = 142.333 — not a whole number
• 427 ÷ 4 = 106.75 — not a whole number
• 427 ÷ 5 = 85.4 — not a whole number
• 427 ÷ 6 = 71.167 — not a whole number
• 427 ÷ 7 = 61 — so 7 and 61 are factors
• 427 ÷ 8 = 53.375 — not a whole number
• 427 ÷ 9 = 47.444 — not a whole number
• 427 ÷ 10 = 42.7 — not a whole number
• 427 ÷ 11 = 38.818 — not a whole number
• 427 ÷ 12 = 35.583 — not a whole number
• 427 ÷ 13 = 32.846 — not a whole number
• 427 ÷ 14 = 30.5 — not a whole number
• 427 ÷ 15 = 28.467 — not a whole number
• 427 ÷ 16 = 26.688 — not a whole number
• 427 ÷ 17 = 25.118 — not a whole number
• 427 ÷ 18 = 23.722 — not a whole number
• 427 ÷ 19 = 22.474 — not a whole number
• 427 ÷ 20 = 21.35 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 7, 61 and 427.

Prime factorization of 427

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

The primes you divided by give 427 = 7 × 61. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 427

• 427 is a composite number.
• The sum of all its factors is 496; the sum of its proper factors (excluding 427) is 69, which makes it a deficient number (its proper factors add up to less than itself).
• 427 is not a perfect square, so its factors pair up evenly.
• Multiples of 427 include 854, 1,281, 1,708, 2,135 and so on.

Factors vs. multiples

Factors of 427 are the numbers that divide into it; multiples of 427 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.