Factors of 437

How to find the factors of 437

Test every whole number from 1 up to the square root of 437 (√437 ≈ 20.905). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 437 ÷ 1 = 437 — so 1 and 437 are factors
• 437 ÷ 2 = 218.5 — not a whole number
• 437 ÷ 3 = 145.667 — not a whole number
• 437 ÷ 4 = 109.25 — not a whole number
• 437 ÷ 5 = 87.4 — not a whole number
• 437 ÷ 6 = 72.833 — not a whole number
• 437 ÷ 7 = 62.429 — not a whole number
• 437 ÷ 8 = 54.625 — not a whole number
• 437 ÷ 9 = 48.556 — not a whole number
• 437 ÷ 10 = 43.7 — not a whole number
• 437 ÷ 11 = 39.727 — not a whole number
• 437 ÷ 12 = 36.417 — not a whole number
• 437 ÷ 13 = 33.615 — not a whole number
• 437 ÷ 14 = 31.214 — not a whole number
• 437 ÷ 15 = 29.133 — not a whole number
• 437 ÷ 16 = 27.313 — not a whole number
• 437 ÷ 17 = 25.706 — not a whole number
• 437 ÷ 18 = 24.278 — not a whole number
• 437 ÷ 19 = 23 — so 19 and 23 are factors
• 437 ÷ 20 = 21.85 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 19, 23 and 437.

Prime factorization of 437

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

The primes you divided by give 437 = 19 × 23. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 437

• 437 is a composite number.
• The sum of all its factors is 480; the sum of its proper factors (excluding 437) is 43, which makes it a deficient number (its proper factors add up to less than itself).
• 437 is not a perfect square, so its factors pair up evenly.
• Multiples of 437 include 874, 1,311, 1,748, 2,185 and so on.

Factors vs. multiples

Factors of 437 are the numbers that divide into it; multiples of 437 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.