Factors of 704

How to find the factors of 704

Test every whole number from 1 up to the square root of 704 (√704 ≈ 26.533). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 704 ÷ 1 = 704 — so 1 and 704 are factors
• 704 ÷ 2 = 352 — so 2 and 352 are factors
• 704 ÷ 3 = 234.667 — not a whole number
• 704 ÷ 4 = 176 — so 4 and 176 are factors
• 704 ÷ 5 = 140.8 — not a whole number
• 704 ÷ 6 = 117.333 — not a whole number
• 704 ÷ 7 = 100.571 — not a whole number
• 704 ÷ 8 = 88 — so 8 and 88 are factors
• 704 ÷ 9 = 78.222 — not a whole number
• 704 ÷ 10 = 70.4 — not a whole number
• 704 ÷ 11 = 64 — so 11 and 64 are factors
• 704 ÷ 12 = 58.667 — not a whole number
• 704 ÷ 13 = 54.154 — not a whole number
• 704 ÷ 14 = 50.286 — not a whole number
• 704 ÷ 15 = 46.933 — not a whole number
• 704 ÷ 16 = 44 — so 16 and 44 are factors
• 704 ÷ 17 = 41.412 — not a whole number
• 704 ÷ 18 = 39.111 — not a whole number
• 704 ÷ 19 = 37.053 — not a whole number
• 704 ÷ 20 = 35.2 — not a whole number
• 704 ÷ 21 = 33.524 — not a whole number
• 704 ÷ 22 = 32 — so 22 and 32 are factors
• 704 ÷ 23 = 30.609 — not a whole number
• 704 ÷ 24 = 29.333 — not a whole number
• 704 ÷ 25 = 28.16 — not a whole number
• 704 ÷ 26 = 27.077 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352 and 704.

Prime factorization of 704

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

The primes you divided by give 704 = 2⁶ × 11. From the exponents you can also count the factors without listing them: (6 + 1) × (1 + 1) = 14.

Properties of 704

• 704 is a composite number.
• The sum of all its factors is 1,524; the sum of its proper factors (excluding 704) is 820, which makes it a abundant number (its proper factors add up to more than itself).
• 704 is not a perfect square, so its factors pair up evenly.
• Multiples of 704 include 1,408, 2,112, 2,816, 3,520 and so on.

Factors vs. multiples

Factors of 704 are the numbers that divide into it; multiples of 704 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.