Factors of 387

How to find the factors of 387

Test every whole number from 1 up to the square root of 387 (√387 ≈ 19.672). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 387 ÷ 1 = 387 — so 1 and 387 are factors
• 387 ÷ 2 = 193.5 — not a whole number
• 387 ÷ 3 = 129 — so 3 and 129 are factors
• 387 ÷ 4 = 96.75 — not a whole number
• 387 ÷ 5 = 77.4 — not a whole number
• 387 ÷ 6 = 64.5 — not a whole number
• 387 ÷ 7 = 55.286 — not a whole number
• 387 ÷ 8 = 48.375 — not a whole number
• 387 ÷ 9 = 43 — so 9 and 43 are factors
• 387 ÷ 10 = 38.7 — not a whole number
• 387 ÷ 11 = 35.182 — not a whole number
• 387 ÷ 12 = 32.25 — not a whole number
• 387 ÷ 13 = 29.769 — not a whole number
• 387 ÷ 14 = 27.643 — not a whole number
• 387 ÷ 15 = 25.8 — not a whole number
• 387 ÷ 16 = 24.188 — not a whole number
• 387 ÷ 17 = 22.765 — not a whole number
• 387 ÷ 18 = 21.5 — not a whole number
• 387 ÷ 19 = 20.368 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 9, 43, 129 and 387.

Prime factorization of 387

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

The primes you divided by give 387 = 3² × 43. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 387

• 387 is a composite number.
• The sum of all its factors is 572; the sum of its proper factors (excluding 387) is 185, which makes it a deficient number (its proper factors add up to less than itself).
• 387 is not a perfect square, so its factors pair up evenly.
• Multiples of 387 include 774, 1,161, 1,548, 1,935 and so on.

Factors vs. multiples

Factors of 387 are the numbers that divide into it; multiples of 387 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.