Factors of 110

How to find the factors of 110

Test every whole number from 1 up to the square root of 110 (√110 ≈ 10.488). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 110 ÷ 1 = 110 — so 1 and 110 are factors
• 110 ÷ 2 = 55 — so 2 and 55 are factors
• 110 ÷ 3 = 36.667 — not a whole number
• 110 ÷ 4 = 27.5 — not a whole number
• 110 ÷ 5 = 22 — so 5 and 22 are factors
• 110 ÷ 6 = 18.333 — not a whole number
• 110 ÷ 7 = 15.714 — not a whole number
• 110 ÷ 8 = 13.75 — not a whole number
• 110 ÷ 9 = 12.222 — not a whole number
• 110 ÷ 10 = 11 — so 10 and 11 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 5, 10, 11, 22, 55 and 110.

Prime factorization of 110

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

The primes you divided by give 110 = 2 × 5 × 11. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 110

• 110 is a composite number.
• The sum of all its factors is 216; the sum of its proper factors (excluding 110) is 106, which makes it a deficient number (its proper factors add up to less than itself).
• 110 is not a perfect square, so its factors pair up evenly.
• Multiples of 110 include 220, 330, 440, 550 and so on.

Factors vs. multiples

Factors of 110 are the numbers that divide into it; multiples of 110 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.