Factors of 740

How to find the factors of 740

Test every whole number from 1 up to the square root of 740 (√740 ≈ 27.203). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 740 ÷ 1 = 740 — so 1 and 740 are factors
• 740 ÷ 2 = 370 — so 2 and 370 are factors
• 740 ÷ 3 = 246.667 — not a whole number
• 740 ÷ 4 = 185 — so 4 and 185 are factors
• 740 ÷ 5 = 148 — so 5 and 148 are factors
• 740 ÷ 6 = 123.333 — not a whole number
• 740 ÷ 7 = 105.714 — not a whole number
• 740 ÷ 8 = 92.5 — not a whole number
• 740 ÷ 9 = 82.222 — not a whole number
• 740 ÷ 10 = 74 — so 10 and 74 are factors
• 740 ÷ 11 = 67.273 — not a whole number
• 740 ÷ 12 = 61.667 — not a whole number
• 740 ÷ 13 = 56.923 — not a whole number
• 740 ÷ 14 = 52.857 — not a whole number
• 740 ÷ 15 = 49.333 — not a whole number
• 740 ÷ 16 = 46.25 — not a whole number
• 740 ÷ 17 = 43.529 — not a whole number
• 740 ÷ 18 = 41.111 — not a whole number
• 740 ÷ 19 = 38.947 — not a whole number
• 740 ÷ 20 = 37 — so 20 and 37 are factors
• 740 ÷ 21 = 35.238 — not a whole number
• 740 ÷ 22 = 33.636 — not a whole number
• 740 ÷ 23 = 32.174 — not a whole number
• 740 ÷ 24 = 30.833 — not a whole number
• 740 ÷ 25 = 29.6 — not a whole number
• 740 ÷ 26 = 28.462 — not a whole number
• 740 ÷ 27 = 27.407 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370 and 740.

Prime factorization of 740

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

The primes you divided by give 740 = 2² × 5 × 37. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 740

• 740 is a composite number.
• The sum of all its factors is 1,596; the sum of its proper factors (excluding 740) is 856, which makes it a abundant number (its proper factors add up to more than itself).
• 740 is not a perfect square, so its factors pair up evenly.
• Multiples of 740 include 1,480, 2,220, 2,960, 3,700 and so on.

Factors vs. multiples

Factors of 740 are the numbers that divide into it; multiples of 740 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.