Factors of 273

How to find the factors of 273

Test every whole number from 1 up to the square root of 273 (√273 ≈ 16.523). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 273 ÷ 1 = 273 — so 1 and 273 are factors
• 273 ÷ 2 = 136.5 — not a whole number
• 273 ÷ 3 = 91 — so 3 and 91 are factors
• 273 ÷ 4 = 68.25 — not a whole number
• 273 ÷ 5 = 54.6 — not a whole number
• 273 ÷ 6 = 45.5 — not a whole number
• 273 ÷ 7 = 39 — so 7 and 39 are factors
• 273 ÷ 8 = 34.125 — not a whole number
• 273 ÷ 9 = 30.333 — not a whole number
• 273 ÷ 10 = 27.3 — not a whole number
• 273 ÷ 11 = 24.818 — not a whole number
• 273 ÷ 12 = 22.75 — not a whole number
• 273 ÷ 13 = 21 — so 13 and 21 are factors
• 273 ÷ 14 = 19.5 — not a whole number
• 273 ÷ 15 = 18.2 — not a whole number
• 273 ÷ 16 = 17.063 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 7, 13, 21, 39, 91 and 273.

Prime factorization of 273

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

The primes you divided by give 273 = 3 × 7 × 13. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 273

• 273 is a composite number.
• The sum of all its factors is 448; the sum of its proper factors (excluding 273) is 175, which makes it a deficient number (its proper factors add up to less than itself).
• 273 is not a perfect square, so its factors pair up evenly.
• Multiples of 273 include 546, 819, 1,092, 1,365 and so on.

Factors vs. multiples

Factors of 273 are the numbers that divide into it; multiples of 273 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.