Factors of 276

How to find the factors of 276

Test every whole number from 1 up to the square root of 276 (√276 ≈ 16.613). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 276 ÷ 1 = 276 — so 1 and 276 are factors
• 276 ÷ 2 = 138 — so 2 and 138 are factors
• 276 ÷ 3 = 92 — so 3 and 92 are factors
• 276 ÷ 4 = 69 — so 4 and 69 are factors
• 276 ÷ 5 = 55.2 — not a whole number
• 276 ÷ 6 = 46 — so 6 and 46 are factors
• 276 ÷ 7 = 39.429 — not a whole number
• 276 ÷ 8 = 34.5 — not a whole number
• 276 ÷ 9 = 30.667 — not a whole number
• 276 ÷ 10 = 27.6 — not a whole number
• 276 ÷ 11 = 25.091 — not a whole number
• 276 ÷ 12 = 23 — so 12 and 23 are factors
• 276 ÷ 13 = 21.231 — not a whole number
• 276 ÷ 14 = 19.714 — not a whole number
• 276 ÷ 15 = 18.4 — not a whole number
• 276 ÷ 16 = 17.25 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138 and 276.

Prime factorization of 276

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

The primes you divided by give 276 = 2² × 3 × 23. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 276

• 276 is a composite number.
• The sum of all its factors is 672; the sum of its proper factors (excluding 276) is 396, which makes it a abundant number (its proper factors add up to more than itself).
• 276 is not a perfect square, so its factors pair up evenly.
• Multiples of 276 include 552, 828, 1,104, 1,380 and so on.

Factors vs. multiples

Factors of 276 are the numbers that divide into it; multiples of 276 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.