Factors of 732

How to find the factors of 732

Test every whole number from 1 up to the square root of 732 (√732 ≈ 27.055). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 732 ÷ 1 = 732 — so 1 and 732 are factors
• 732 ÷ 2 = 366 — so 2 and 366 are factors
• 732 ÷ 3 = 244 — so 3 and 244 are factors
• 732 ÷ 4 = 183 — so 4 and 183 are factors
• 732 ÷ 5 = 146.4 — not a whole number
• 732 ÷ 6 = 122 — so 6 and 122 are factors
• 732 ÷ 7 = 104.571 — not a whole number
• 732 ÷ 8 = 91.5 — not a whole number
• 732 ÷ 9 = 81.333 — not a whole number
• 732 ÷ 10 = 73.2 — not a whole number
• 732 ÷ 11 = 66.545 — not a whole number
• 732 ÷ 12 = 61 — so 12 and 61 are factors
• 732 ÷ 13 = 56.308 — not a whole number
• 732 ÷ 14 = 52.286 — not a whole number
• 732 ÷ 15 = 48.8 — not a whole number
• 732 ÷ 16 = 45.75 — not a whole number
• 732 ÷ 17 = 43.059 — not a whole number
• 732 ÷ 18 = 40.667 — not a whole number
• 732 ÷ 19 = 38.526 — not a whole number
• 732 ÷ 20 = 36.6 — not a whole number
• 732 ÷ 21 = 34.857 — not a whole number
• 732 ÷ 22 = 33.273 — not a whole number
• 732 ÷ 23 = 31.826 — not a whole number
• 732 ÷ 24 = 30.5 — not a whole number
• 732 ÷ 25 = 29.28 — not a whole number
• 732 ÷ 26 = 28.154 — not a whole number
• 732 ÷ 27 = 27.111 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366 and 732.

Prime factorization of 732

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

The primes you divided by give 732 = 2² × 3 × 61. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 732

• 732 is a composite number.
• The sum of all its factors is 1,736; the sum of its proper factors (excluding 732) is 1,004, which makes it a abundant number (its proper factors add up to more than itself).
• 732 is not a perfect square, so its factors pair up evenly.
• Multiples of 732 include 1,464, 2,196, 2,928, 3,660 and so on.

Factors vs. multiples

Factors of 732 are the numbers that divide into it; multiples of 732 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.