Factors of 696

How to find the factors of 696

Test every whole number from 1 up to the square root of 696 (√696 ≈ 26.382). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 696 ÷ 1 = 696 — so 1 and 696 are factors
• 696 ÷ 2 = 348 — so 2 and 348 are factors
• 696 ÷ 3 = 232 — so 3 and 232 are factors
• 696 ÷ 4 = 174 — so 4 and 174 are factors
• 696 ÷ 5 = 139.2 — not a whole number
• 696 ÷ 6 = 116 — so 6 and 116 are factors
• 696 ÷ 7 = 99.429 — not a whole number
• 696 ÷ 8 = 87 — so 8 and 87 are factors
• 696 ÷ 9 = 77.333 — not a whole number
• 696 ÷ 10 = 69.6 — not a whole number
• 696 ÷ 11 = 63.273 — not a whole number
• 696 ÷ 12 = 58 — so 12 and 58 are factors
• 696 ÷ 13 = 53.538 — not a whole number
• 696 ÷ 14 = 49.714 — not a whole number
• 696 ÷ 15 = 46.4 — not a whole number
• 696 ÷ 16 = 43.5 — not a whole number
• 696 ÷ 17 = 40.941 — not a whole number
• 696 ÷ 18 = 38.667 — not a whole number
• 696 ÷ 19 = 36.632 — not a whole number
• 696 ÷ 20 = 34.8 — not a whole number
• 696 ÷ 21 = 33.143 — not a whole number
• 696 ÷ 22 = 31.636 — not a whole number
• 696 ÷ 23 = 30.261 — not a whole number
• 696 ÷ 24 = 29 — so 24 and 29 are factors
• 696 ÷ 25 = 27.84 — not a whole number
• 696 ÷ 26 = 26.769 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348 and 696.

Prime factorization of 696

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

The primes you divided by give 696 = 2³ × 3 × 29. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 696

• 696 is a composite number.
• The sum of all its factors is 1,800; the sum of its proper factors (excluding 696) is 1,104, which makes it a abundant number (its proper factors add up to more than itself).
• 696 is not a perfect square, so its factors pair up evenly.
• Multiples of 696 include 1,392, 2,088, 2,784, 3,480 and so on.

Factors vs. multiples

Factors of 696 are the numbers that divide into it; multiples of 696 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.