Factors of 272

How to find the factors of 272

Test every whole number from 1 up to the square root of 272 (√272 ≈ 16.492). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 272 ÷ 1 = 272 — so 1 and 272 are factors
• 272 ÷ 2 = 136 — so 2 and 136 are factors
• 272 ÷ 3 = 90.667 — not a whole number
• 272 ÷ 4 = 68 — so 4 and 68 are factors
• 272 ÷ 5 = 54.4 — not a whole number
• 272 ÷ 6 = 45.333 — not a whole number
• 272 ÷ 7 = 38.857 — not a whole number
• 272 ÷ 8 = 34 — so 8 and 34 are factors
• 272 ÷ 9 = 30.222 — not a whole number
• 272 ÷ 10 = 27.2 — not a whole number
• 272 ÷ 11 = 24.727 — not a whole number
• 272 ÷ 12 = 22.667 — not a whole number
• 272 ÷ 13 = 20.923 — not a whole number
• 272 ÷ 14 = 19.429 — not a whole number
• 272 ÷ 15 = 18.133 — not a whole number
• 272 ÷ 16 = 17 — so 16 and 17 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 16, 17, 34, 68, 136 and 272.

Prime factorization of 272

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

The primes you divided by give 272 = 2⁴ × 17. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.

Properties of 272

• 272 is a composite number.
• The sum of all its factors is 558; the sum of its proper factors (excluding 272) is 286, which makes it a abundant number (its proper factors add up to more than itself).
• 272 is not a perfect square, so its factors pair up evenly.
• Multiples of 272 include 544, 816, 1,088, 1,360 and so on.

Factors vs. multiples

Factors of 272 are the numbers that divide into it; multiples of 272 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.