Factors of 111

How to find the factors of 111

Test every whole number from 1 up to the square root of 111 (√111 ≈ 10.536). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 111 ÷ 1 = 111 — so 1 and 111 are factors
• 111 ÷ 2 = 55.5 — not a whole number
• 111 ÷ 3 = 37 — so 3 and 37 are factors
• 111 ÷ 4 = 27.75 — not a whole number
• 111 ÷ 5 = 22.2 — not a whole number
• 111 ÷ 6 = 18.5 — not a whole number
• 111 ÷ 7 = 15.857 — not a whole number
• 111 ÷ 8 = 13.875 — not a whole number
• 111 ÷ 9 = 12.333 — not a whole number
• 111 ÷ 10 = 11.1 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 37 and 111.

Prime factorization of 111

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

The primes you divided by give 111 = 3 × 37. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 111

• 111 is a composite number.
• The sum of all its factors is 152; the sum of its proper factors (excluding 111) is 41, which makes it a deficient number (its proper factors add up to less than itself).
• 111 is not a perfect square, so its factors pair up evenly.
• Multiples of 111 include 222, 333, 444, 555 and so on.

Factors vs. multiples

Factors of 111 are the numbers that divide into it; multiples of 111 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.