Factors of 724

How to find the factors of 724

Test every whole number from 1 up to the square root of 724 (√724 ≈ 26.907). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 724 ÷ 1 = 724 — so 1 and 724 are factors
• 724 ÷ 2 = 362 — so 2 and 362 are factors
• 724 ÷ 3 = 241.333 — not a whole number
• 724 ÷ 4 = 181 — so 4 and 181 are factors
• 724 ÷ 5 = 144.8 — not a whole number
• 724 ÷ 6 = 120.667 — not a whole number
• 724 ÷ 7 = 103.429 — not a whole number
• 724 ÷ 8 = 90.5 — not a whole number
• 724 ÷ 9 = 80.444 — not a whole number
• 724 ÷ 10 = 72.4 — not a whole number
• 724 ÷ 11 = 65.818 — not a whole number
• 724 ÷ 12 = 60.333 — not a whole number
• 724 ÷ 13 = 55.692 — not a whole number
• 724 ÷ 14 = 51.714 — not a whole number
• 724 ÷ 15 = 48.267 — not a whole number
• 724 ÷ 16 = 45.25 — not a whole number
• 724 ÷ 17 = 42.588 — not a whole number
• 724 ÷ 18 = 40.222 — not a whole number
• 724 ÷ 19 = 38.105 — not a whole number
• 724 ÷ 20 = 36.2 — not a whole number
• 724 ÷ 21 = 34.476 — not a whole number
• 724 ÷ 22 = 32.909 — not a whole number
• 724 ÷ 23 = 31.478 — not a whole number
• 724 ÷ 24 = 30.167 — not a whole number
• 724 ÷ 25 = 28.96 — not a whole number
• 724 ÷ 26 = 27.846 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 181, 362 and 724.

Prime factorization of 724

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

The primes you divided by give 724 = 2² × 181. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 724

• 724 is a composite number.
• The sum of all its factors is 1,274; the sum of its proper factors (excluding 724) is 550, which makes it a deficient number (its proper factors add up to less than itself).
• 724 is not a perfect square, so its factors pair up evenly.
• Multiples of 724 include 1,448, 2,172, 2,896, 3,620 and so on.

Factors vs. multiples

Factors of 724 are the numbers that divide into it; multiples of 724 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.