Factors of 240

How to find the factors of 240

Test every whole number from 1 up to the square root of 240 (√240 ≈ 15.492). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 240 ÷ 1 = 240 — so 1 and 240 are factors
• 240 ÷ 2 = 120 — so 2 and 120 are factors
• 240 ÷ 3 = 80 — so 3 and 80 are factors
• 240 ÷ 4 = 60 — so 4 and 60 are factors
• 240 ÷ 5 = 48 — so 5 and 48 are factors
• 240 ÷ 6 = 40 — so 6 and 40 are factors
• 240 ÷ 7 = 34.286 — not a whole number
• 240 ÷ 8 = 30 — so 8 and 30 are factors
• 240 ÷ 9 = 26.667 — not a whole number
• 240 ÷ 10 = 24 — so 10 and 24 are factors
• 240 ÷ 11 = 21.818 — not a whole number
• 240 ÷ 12 = 20 — so 12 and 20 are factors
• 240 ÷ 13 = 18.462 — not a whole number
• 240 ÷ 14 = 17.143 — not a whole number
• 240 ÷ 15 = 16 — so 15 and 16 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.

Prime factorization of 240

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

The primes you divided by give 240 = 2⁴ × 3 × 5. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) × (1 + 1) = 20.

Properties of 240

• 240 is a composite number.
• The sum of all its factors is 744; the sum of its proper factors (excluding 240) is 504, which makes it a abundant number (its proper factors add up to more than itself).
• 240 is not a perfect square, so its factors pair up evenly.
• Multiples of 240 include 480, 720, 960, 1,200 and so on.

Factors vs. multiples

Factors of 240 are the numbers that divide into it; multiples of 240 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.