Factors of 189

How to find the factors of 189

Test every whole number from 1 up to the square root of 189 (√189 ≈ 13.748). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 189 ÷ 1 = 189 — so 1 and 189 are factors
• 189 ÷ 2 = 94.5 — not a whole number
• 189 ÷ 3 = 63 — so 3 and 63 are factors
• 189 ÷ 4 = 47.25 — not a whole number
• 189 ÷ 5 = 37.8 — not a whole number
• 189 ÷ 6 = 31.5 — not a whole number
• 189 ÷ 7 = 27 — so 7 and 27 are factors
• 189 ÷ 8 = 23.625 — not a whole number
• 189 ÷ 9 = 21 — so 9 and 21 are factors
• 189 ÷ 10 = 18.9 — not a whole number
• 189 ÷ 11 = 17.182 — not a whole number
• 189 ÷ 12 = 15.75 — not a whole number
• 189 ÷ 13 = 14.538 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 7, 9, 21, 27, 63 and 189.

Prime factorization of 189

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

The primes you divided by give 189 = 3³ × 7. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 189

• 189 is a composite number.
• The sum of all its factors is 320; the sum of its proper factors (excluding 189) is 131, which makes it a deficient number (its proper factors add up to less than itself).
• 189 is not a perfect square, so its factors pair up evenly.
• Multiples of 189 include 378, 567, 756, 945 and so on.

Factors vs. multiples

Factors of 189 are the numbers that divide into it; multiples of 189 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.