Factors of 918

How to find the factors of 918

Test every whole number from 1 up to the square root of 918 (√918 ≈ 30.299). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 918 ÷ 1 = 918 — so 1 and 918 are factors
• 918 ÷ 2 = 459 — so 2 and 459 are factors
• 918 ÷ 3 = 306 — so 3 and 306 are factors
• 918 ÷ 4 = 229.5 — not a whole number
• 918 ÷ 5 = 183.6 — not a whole number
• 918 ÷ 6 = 153 — so 6 and 153 are factors
• 918 ÷ 7 = 131.143 — not a whole number
• 918 ÷ 8 = 114.75 — not a whole number
• 918 ÷ 9 = 102 — so 9 and 102 are factors
• 918 ÷ 10 = 91.8 — not a whole number
• 918 ÷ 11 = 83.455 — not a whole number
• 918 ÷ 12 = 76.5 — not a whole number
• 918 ÷ 13 = 70.615 — not a whole number
• 918 ÷ 14 = 65.571 — not a whole number
• 918 ÷ 15 = 61.2 — not a whole number
• 918 ÷ 16 = 57.375 — not a whole number
• 918 ÷ 17 = 54 — so 17 and 54 are factors
• 918 ÷ 18 = 51 — so 18 and 51 are factors
• 918 ÷ 19 = 48.316 — not a whole number
• 918 ÷ 20 = 45.9 — not a whole number
• 918 ÷ 21 = 43.714 — not a whole number
• 918 ÷ 22 = 41.727 — not a whole number
• 918 ÷ 23 = 39.913 — not a whole number
• 918 ÷ 24 = 38.25 — not a whole number
• 918 ÷ 25 = 36.72 — not a whole number
• 918 ÷ 26 = 35.308 — not a whole number
• 918 ÷ 27 = 34 — so 27 and 34 are factors
• 918 ÷ 28 = 32.786 — not a whole number
• 918 ÷ 29 = 31.655 — not a whole number
• 918 ÷ 30 = 30.6 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459 and 918.

Prime factorization of 918

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

The primes you divided by give 918 = 2 × 3³ × 17. From the exponents you can also count the factors without listing them: (1 + 1) × (3 + 1) × (1 + 1) = 16.

Properties of 918

• 918 is a composite number.
• The sum of all its factors is 2,160; the sum of its proper factors (excluding 918) is 1,242, which makes it a abundant number (its proper factors add up to more than itself).
• 918 is not a perfect square, so its factors pair up evenly.
• Multiples of 918 include 1,836, 2,754, 3,672, 4,590 and so on.

Factors vs. multiples

Factors of 918 are the numbers that divide into it; multiples of 918 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.