Factors of 270

How to find the factors of 270

Test every whole number from 1 up to the square root of 270 (√270 ≈ 16.432). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 270 ÷ 1 = 270 — so 1 and 270 are factors
• 270 ÷ 2 = 135 — so 2 and 135 are factors
• 270 ÷ 3 = 90 — so 3 and 90 are factors
• 270 ÷ 4 = 67.5 — not a whole number
• 270 ÷ 5 = 54 — so 5 and 54 are factors
• 270 ÷ 6 = 45 — so 6 and 45 are factors
• 270 ÷ 7 = 38.571 — not a whole number
• 270 ÷ 8 = 33.75 — not a whole number
• 270 ÷ 9 = 30 — so 9 and 30 are factors
• 270 ÷ 10 = 27 — so 10 and 27 are factors
• 270 ÷ 11 = 24.545 — not a whole number
• 270 ÷ 12 = 22.5 — not a whole number
• 270 ÷ 13 = 20.769 — not a whole number
• 270 ÷ 14 = 19.286 — not a whole number
• 270 ÷ 15 = 18 — so 15 and 18 are factors
• 270 ÷ 16 = 16.875 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135 and 270.

Prime factorization of 270

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

The primes you divided by give 270 = 2 × 3³ × 5. From the exponents you can also count the factors without listing them: (1 + 1) × (3 + 1) × (1 + 1) = 16.

Properties of 270

• 270 is a composite number.
• The sum of all its factors is 720; the sum of its proper factors (excluding 270) is 450, which makes it a abundant number (its proper factors add up to more than itself).
• 270 is not a perfect square, so its factors pair up evenly.
• Multiples of 270 include 540, 810, 1,080, 1,350 and so on.

Factors vs. multiples

Factors of 270 are the numbers that divide into it; multiples of 270 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.