Factors of 772

How to find the factors of 772

Test every whole number from 1 up to the square root of 772 (√772 ≈ 27.785). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 772 ÷ 1 = 772 — so 1 and 772 are factors
• 772 ÷ 2 = 386 — so 2 and 386 are factors
• 772 ÷ 3 = 257.333 — not a whole number
• 772 ÷ 4 = 193 — so 4 and 193 are factors
• 772 ÷ 5 = 154.4 — not a whole number
• 772 ÷ 6 = 128.667 — not a whole number
• 772 ÷ 7 = 110.286 — not a whole number
• 772 ÷ 8 = 96.5 — not a whole number
• 772 ÷ 9 = 85.778 — not a whole number
• 772 ÷ 10 = 77.2 — not a whole number
• 772 ÷ 11 = 70.182 — not a whole number
• 772 ÷ 12 = 64.333 — not a whole number
• 772 ÷ 13 = 59.385 — not a whole number
• 772 ÷ 14 = 55.143 — not a whole number
• 772 ÷ 15 = 51.467 — not a whole number
• 772 ÷ 16 = 48.25 — not a whole number
• 772 ÷ 17 = 45.412 — not a whole number
• 772 ÷ 18 = 42.889 — not a whole number
• 772 ÷ 19 = 40.632 — not a whole number
• 772 ÷ 20 = 38.6 — not a whole number
• 772 ÷ 21 = 36.762 — not a whole number
• 772 ÷ 22 = 35.091 — not a whole number
• 772 ÷ 23 = 33.565 — not a whole number
• 772 ÷ 24 = 32.167 — not a whole number
• 772 ÷ 25 = 30.88 — not a whole number
• 772 ÷ 26 = 29.692 — not a whole number
• 772 ÷ 27 = 28.593 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 193, 386 and 772.

Prime factorization of 772

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

The primes you divided by give 772 = 2² × 193. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 772

• 772 is a composite number.
• The sum of all its factors is 1,358; the sum of its proper factors (excluding 772) is 586, which makes it a deficient number (its proper factors add up to less than itself).
• 772 is not a perfect square, so its factors pair up evenly.
• Multiples of 772 include 1,544, 2,316, 3,088, 3,860 and so on.

Factors vs. multiples

Factors of 772 are the numbers that divide into it; multiples of 772 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.