Factors of 260

How to find the factors of 260

Test every whole number from 1 up to the square root of 260 (√260 ≈ 16.125). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 260 ÷ 1 = 260 — so 1 and 260 are factors
• 260 ÷ 2 = 130 — so 2 and 130 are factors
• 260 ÷ 3 = 86.667 — not a whole number
• 260 ÷ 4 = 65 — so 4 and 65 are factors
• 260 ÷ 5 = 52 — so 5 and 52 are factors
• 260 ÷ 6 = 43.333 — not a whole number
• 260 ÷ 7 = 37.143 — not a whole number
• 260 ÷ 8 = 32.5 — not a whole number
• 260 ÷ 9 = 28.889 — not a whole number
• 260 ÷ 10 = 26 — so 10 and 26 are factors
• 260 ÷ 11 = 23.636 — not a whole number
• 260 ÷ 12 = 21.667 — not a whole number
• 260 ÷ 13 = 20 — so 13 and 20 are factors
• 260 ÷ 14 = 18.571 — not a whole number
• 260 ÷ 15 = 17.333 — not a whole number
• 260 ÷ 16 = 16.25 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130 and 260.

Prime factorization of 260

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

The primes you divided by give 260 = 2² × 5 × 13. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 260

• 260 is a composite number.
• The sum of all its factors is 588; the sum of its proper factors (excluding 260) is 328, which makes it a abundant number (its proper factors add up to more than itself).
• 260 is not a perfect square, so its factors pair up evenly.
• Multiples of 260 include 520, 780, 1,040, 1,300 and so on.

Factors vs. multiples

Factors of 260 are the numbers that divide into it; multiples of 260 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.