Factors of 731

How to find the factors of 731

Test every whole number from 1 up to the square root of 731 (√731 ≈ 27.037). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 731 ÷ 1 = 731 — so 1 and 731 are factors
• 731 ÷ 2 = 365.5 — not a whole number
• 731 ÷ 3 = 243.667 — not a whole number
• 731 ÷ 4 = 182.75 — not a whole number
• 731 ÷ 5 = 146.2 — not a whole number
• 731 ÷ 6 = 121.833 — not a whole number
• 731 ÷ 7 = 104.429 — not a whole number
• 731 ÷ 8 = 91.375 — not a whole number
• 731 ÷ 9 = 81.222 — not a whole number
• 731 ÷ 10 = 73.1 — not a whole number
• 731 ÷ 11 = 66.455 — not a whole number
• 731 ÷ 12 = 60.917 — not a whole number
• 731 ÷ 13 = 56.231 — not a whole number
• 731 ÷ 14 = 52.214 — not a whole number
• 731 ÷ 15 = 48.733 — not a whole number
• 731 ÷ 16 = 45.688 — not a whole number
• 731 ÷ 17 = 43 — so 17 and 43 are factors
• 731 ÷ 18 = 40.611 — not a whole number
• 731 ÷ 19 = 38.474 — not a whole number
• 731 ÷ 20 = 36.55 — not a whole number
• 731 ÷ 21 = 34.81 — not a whole number
• 731 ÷ 22 = 33.227 — not a whole number
• 731 ÷ 23 = 31.783 — not a whole number
• 731 ÷ 24 = 30.458 — not a whole number
• 731 ÷ 25 = 29.24 — not a whole number
• 731 ÷ 26 = 28.115 — not a whole number
• 731 ÷ 27 = 27.074 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 17, 43 and 731.

Prime factorization of 731

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

The primes you divided by give 731 = 17 × 43. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 731

• 731 is a composite number.
• The sum of all its factors is 792; the sum of its proper factors (excluding 731) is 61, which makes it a deficient number (its proper factors add up to less than itself).
• 731 is not a perfect square, so its factors pair up evenly.
• Multiples of 731 include 1,462, 2,193, 2,924, 3,655 and so on.

Factors vs. multiples

Factors of 731 are the numbers that divide into it; multiples of 731 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.