Factors of 429

How to find the factors of 429

Test every whole number from 1 up to the square root of 429 (√429 ≈ 20.712). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 429 ÷ 1 = 429 — so 1 and 429 are factors
• 429 ÷ 2 = 214.5 — not a whole number
• 429 ÷ 3 = 143 — so 3 and 143 are factors
• 429 ÷ 4 = 107.25 — not a whole number
• 429 ÷ 5 = 85.8 — not a whole number
• 429 ÷ 6 = 71.5 — not a whole number
• 429 ÷ 7 = 61.286 — not a whole number
• 429 ÷ 8 = 53.625 — not a whole number
• 429 ÷ 9 = 47.667 — not a whole number
• 429 ÷ 10 = 42.9 — not a whole number
• 429 ÷ 11 = 39 — so 11 and 39 are factors
• 429 ÷ 12 = 35.75 — not a whole number
• 429 ÷ 13 = 33 — so 13 and 33 are factors
• 429 ÷ 14 = 30.643 — not a whole number
• 429 ÷ 15 = 28.6 — not a whole number
• 429 ÷ 16 = 26.813 — not a whole number
• 429 ÷ 17 = 25.235 — not a whole number
• 429 ÷ 18 = 23.833 — not a whole number
• 429 ÷ 19 = 22.579 — not a whole number
• 429 ÷ 20 = 21.45 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 11, 13, 33, 39, 143 and 429.

Prime factorization of 429

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

The primes you divided by give 429 = 3 × 11 × 13. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 429

• 429 is a composite number.
• The sum of all its factors is 672; the sum of its proper factors (excluding 429) is 243, which makes it a deficient number (its proper factors add up to less than itself).
• 429 is not a perfect square, so its factors pair up evenly.
• Multiples of 429 include 858, 1,287, 1,716, 2,145 and so on.

Factors vs. multiples

Factors of 429 are the numbers that divide into it; multiples of 429 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.