Factors of 741

How to find the factors of 741

Test every whole number from 1 up to the square root of 741 (√741 ≈ 27.221). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 741 ÷ 1 = 741 — so 1 and 741 are factors
• 741 ÷ 2 = 370.5 — not a whole number
• 741 ÷ 3 = 247 — so 3 and 247 are factors
• 741 ÷ 4 = 185.25 — not a whole number
• 741 ÷ 5 = 148.2 — not a whole number
• 741 ÷ 6 = 123.5 — not a whole number
• 741 ÷ 7 = 105.857 — not a whole number
• 741 ÷ 8 = 92.625 — not a whole number
• 741 ÷ 9 = 82.333 — not a whole number
• 741 ÷ 10 = 74.1 — not a whole number
• 741 ÷ 11 = 67.364 — not a whole number
• 741 ÷ 12 = 61.75 — not a whole number
• 741 ÷ 13 = 57 — so 13 and 57 are factors
• 741 ÷ 14 = 52.929 — not a whole number
• 741 ÷ 15 = 49.4 — not a whole number
• 741 ÷ 16 = 46.313 — not a whole number
• 741 ÷ 17 = 43.588 — not a whole number
• 741 ÷ 18 = 41.167 — not a whole number
• 741 ÷ 19 = 39 — so 19 and 39 are factors
• 741 ÷ 20 = 37.05 — not a whole number
• 741 ÷ 21 = 35.286 — not a whole number
• 741 ÷ 22 = 33.682 — not a whole number
• 741 ÷ 23 = 32.217 — not a whole number
• 741 ÷ 24 = 30.875 — not a whole number
• 741 ÷ 25 = 29.64 — not a whole number
• 741 ÷ 26 = 28.5 — not a whole number
• 741 ÷ 27 = 27.444 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 13, 19, 39, 57, 247 and 741.

Prime factorization of 741

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

The primes you divided by give 741 = 3 × 13 × 19. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 741

• 741 is a composite number.
• The sum of all its factors is 1,120; the sum of its proper factors (excluding 741) is 379, which makes it a deficient number (its proper factors add up to less than itself).
• 741 is not a perfect square, so its factors pair up evenly.
• Multiples of 741 include 1,482, 2,223, 2,964, 3,705 and so on.

Factors vs. multiples

Factors of 741 are the numbers that divide into it; multiples of 741 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.