Factors of 792

How to find the factors of 792

Test every whole number from 1 up to the square root of 792 (√792 ≈ 28.142). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 792 ÷ 1 = 792 — so 1 and 792 are factors
• 792 ÷ 2 = 396 — so 2 and 396 are factors
• 792 ÷ 3 = 264 — so 3 and 264 are factors
• 792 ÷ 4 = 198 — so 4 and 198 are factors
• 792 ÷ 5 = 158.4 — not a whole number
• 792 ÷ 6 = 132 — so 6 and 132 are factors
• 792 ÷ 7 = 113.143 — not a whole number
• 792 ÷ 8 = 99 — so 8 and 99 are factors
• 792 ÷ 9 = 88 — so 9 and 88 are factors
• 792 ÷ 10 = 79.2 — not a whole number
• 792 ÷ 11 = 72 — so 11 and 72 are factors
• 792 ÷ 12 = 66 — so 12 and 66 are factors
• 792 ÷ 13 = 60.923 — not a whole number
• 792 ÷ 14 = 56.571 — not a whole number
• 792 ÷ 15 = 52.8 — not a whole number
• 792 ÷ 16 = 49.5 — not a whole number
• 792 ÷ 17 = 46.588 — not a whole number
• 792 ÷ 18 = 44 — so 18 and 44 are factors
• 792 ÷ 19 = 41.684 — not a whole number
• 792 ÷ 20 = 39.6 — not a whole number
• 792 ÷ 21 = 37.714 — not a whole number
• 792 ÷ 22 = 36 — so 22 and 36 are factors
• 792 ÷ 23 = 34.435 — not a whole number
• 792 ÷ 24 = 33 — so 24 and 33 are factors
• 792 ÷ 25 = 31.68 — not a whole number
• 792 ÷ 26 = 30.462 — not a whole number
• 792 ÷ 27 = 29.333 — not a whole number
• 792 ÷ 28 = 28.286 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396 and 792.

Prime factorization of 792

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

The primes you divided by give 792 = 2³ × 3² × 11. From the exponents you can also count the factors without listing them: (3 + 1) × (2 + 1) × (1 + 1) = 24.

Properties of 792

• 792 is a composite number.
• The sum of all its factors is 2,340; the sum of its proper factors (excluding 792) is 1,548, which makes it a abundant number (its proper factors add up to more than itself).
• 792 is not a perfect square, so its factors pair up evenly.
• Multiples of 792 include 1,584, 2,376, 3,168, 3,960 and so on.

Factors vs. multiples

Factors of 792 are the numbers that divide into it; multiples of 792 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.