Factors of 777

How to find the factors of 777

Test every whole number from 1 up to the square root of 777 (√777 ≈ 27.875). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 777 ÷ 1 = 777 — so 1 and 777 are factors
• 777 ÷ 2 = 388.5 — not a whole number
• 777 ÷ 3 = 259 — so 3 and 259 are factors
• 777 ÷ 4 = 194.25 — not a whole number
• 777 ÷ 5 = 155.4 — not a whole number
• 777 ÷ 6 = 129.5 — not a whole number
• 777 ÷ 7 = 111 — so 7 and 111 are factors
• 777 ÷ 8 = 97.125 — not a whole number
• 777 ÷ 9 = 86.333 — not a whole number
• 777 ÷ 10 = 77.7 — not a whole number
• 777 ÷ 11 = 70.636 — not a whole number
• 777 ÷ 12 = 64.75 — not a whole number
• 777 ÷ 13 = 59.769 — not a whole number
• 777 ÷ 14 = 55.5 — not a whole number
• 777 ÷ 15 = 51.8 — not a whole number
• 777 ÷ 16 = 48.563 — not a whole number
• 777 ÷ 17 = 45.706 — not a whole number
• 777 ÷ 18 = 43.167 — not a whole number
• 777 ÷ 19 = 40.895 — not a whole number
• 777 ÷ 20 = 38.85 — not a whole number
• 777 ÷ 21 = 37 — so 21 and 37 are factors
• 777 ÷ 22 = 35.318 — not a whole number
• 777 ÷ 23 = 33.783 — not a whole number
• 777 ÷ 24 = 32.375 — not a whole number
• 777 ÷ 25 = 31.08 — not a whole number
• 777 ÷ 26 = 29.885 — not a whole number
• 777 ÷ 27 = 28.778 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 7, 21, 37, 111, 259 and 777.

Prime factorization of 777

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

The primes you divided by give 777 = 3 × 7 × 37. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 777

• 777 is a composite number.
• The sum of all its factors is 1,216; the sum of its proper factors (excluding 777) is 439, which makes it a deficient number (its proper factors add up to less than itself).
• 777 is not a perfect square, so its factors pair up evenly.
• Multiples of 777 include 1,554, 2,331, 3,108, 3,885 and so on.

Factors vs. multiples

Factors of 777 are the numbers that divide into it; multiples of 777 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.