Factors of 268

How to find the factors of 268

Test every whole number from 1 up to the square root of 268 (√268 ≈ 16.371). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 268 ÷ 1 = 268 — so 1 and 268 are factors
• 268 ÷ 2 = 134 — so 2 and 134 are factors
• 268 ÷ 3 = 89.333 — not a whole number
• 268 ÷ 4 = 67 — so 4 and 67 are factors
• 268 ÷ 5 = 53.6 — not a whole number
• 268 ÷ 6 = 44.667 — not a whole number
• 268 ÷ 7 = 38.286 — not a whole number
• 268 ÷ 8 = 33.5 — not a whole number
• 268 ÷ 9 = 29.778 — not a whole number
• 268 ÷ 10 = 26.8 — not a whole number
• 268 ÷ 11 = 24.364 — not a whole number
• 268 ÷ 12 = 22.333 — not a whole number
• 268 ÷ 13 = 20.615 — not a whole number
• 268 ÷ 14 = 19.143 — not a whole number
• 268 ÷ 15 = 17.867 — not a whole number
• 268 ÷ 16 = 16.75 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 67, 134 and 268.

Prime factorization of 268

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

The primes you divided by give 268 = 2² × 67. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 268

• 268 is a composite number.
• The sum of all its factors is 476; the sum of its proper factors (excluding 268) is 208, which makes it a deficient number (its proper factors add up to less than itself).
• 268 is not a perfect square, so its factors pair up evenly.
• Multiples of 268 include 536, 804, 1,072, 1,340 and so on.

Factors vs. multiples

Factors of 268 are the numbers that divide into it; multiples of 268 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.