Factors of 700

How to find the factors of 700

Test every whole number from 1 up to the square root of 700 (√700 ≈ 26.458). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 700 ÷ 1 = 700 — so 1 and 700 are factors
• 700 ÷ 2 = 350 — so 2 and 350 are factors
• 700 ÷ 3 = 233.333 — not a whole number
• 700 ÷ 4 = 175 — so 4 and 175 are factors
• 700 ÷ 5 = 140 — so 5 and 140 are factors
• 700 ÷ 6 = 116.667 — not a whole number
• 700 ÷ 7 = 100 — so 7 and 100 are factors
• 700 ÷ 8 = 87.5 — not a whole number
• 700 ÷ 9 = 77.778 — not a whole number
• 700 ÷ 10 = 70 — so 10 and 70 are factors
• 700 ÷ 11 = 63.636 — not a whole number
• 700 ÷ 12 = 58.333 — not a whole number
• 700 ÷ 13 = 53.846 — not a whole number
• 700 ÷ 14 = 50 — so 14 and 50 are factors
• 700 ÷ 15 = 46.667 — not a whole number
• 700 ÷ 16 = 43.75 — not a whole number
• 700 ÷ 17 = 41.176 — not a whole number
• 700 ÷ 18 = 38.889 — not a whole number
• 700 ÷ 19 = 36.842 — not a whole number
• 700 ÷ 20 = 35 — so 20 and 35 are factors
• 700 ÷ 21 = 33.333 — not a whole number
• 700 ÷ 22 = 31.818 — not a whole number
• 700 ÷ 23 = 30.435 — not a whole number
• 700 ÷ 24 = 29.167 — not a whole number
• 700 ÷ 25 = 28 — so 25 and 28 are factors
• 700 ÷ 26 = 26.923 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350 and 700.

Prime factorization of 700

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

The primes you divided by give 700 = 2² × 5² × 7. From the exponents you can also count the factors without listing them: (2 + 1) × (2 + 1) × (1 + 1) = 18.

Properties of 700

• 700 is a composite number.
• The sum of all its factors is 1,736; the sum of its proper factors (excluding 700) is 1,036, which makes it a abundant number (its proper factors add up to more than itself).
• 700 is not a perfect square, so its factors pair up evenly.
• Multiples of 700 include 1,400, 2,100, 2,800, 3,500 and so on.

Factors vs. multiples

Factors of 700 are the numbers that divide into it; multiples of 700 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.