Factors of 267

How to find the factors of 267

Test every whole number from 1 up to the square root of 267 (√267 ≈ 16.340). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 267 ÷ 1 = 267 — so 1 and 267 are factors
• 267 ÷ 2 = 133.5 — not a whole number
• 267 ÷ 3 = 89 — so 3 and 89 are factors
• 267 ÷ 4 = 66.75 — not a whole number
• 267 ÷ 5 = 53.4 — not a whole number
• 267 ÷ 6 = 44.5 — not a whole number
• 267 ÷ 7 = 38.143 — not a whole number
• 267 ÷ 8 = 33.375 — not a whole number
• 267 ÷ 9 = 29.667 — not a whole number
• 267 ÷ 10 = 26.7 — not a whole number
• 267 ÷ 11 = 24.273 — not a whole number
• 267 ÷ 12 = 22.25 — not a whole number
• 267 ÷ 13 = 20.538 — not a whole number
• 267 ÷ 14 = 19.071 — not a whole number
• 267 ÷ 15 = 17.8 — not a whole number
• 267 ÷ 16 = 16.688 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 89 and 267.

Prime factorization of 267

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

The primes you divided by give 267 = 3 × 89. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 267

• 267 is a composite number.
• The sum of all its factors is 360; the sum of its proper factors (excluding 267) is 93, which makes it a deficient number (its proper factors add up to less than itself).
• 267 is not a perfect square, so its factors pair up evenly.
• Multiples of 267 include 534, 801, 1,068, 1,335 and so on.

Factors vs. multiples

Factors of 267 are the numbers that divide into it; multiples of 267 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.