Factors of 737

How to find the factors of 737

Test every whole number from 1 up to the square root of 737 (√737 ≈ 27.148). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 737 ÷ 1 = 737 — so 1 and 737 are factors
• 737 ÷ 2 = 368.5 — not a whole number
• 737 ÷ 3 = 245.667 — not a whole number
• 737 ÷ 4 = 184.25 — not a whole number
• 737 ÷ 5 = 147.4 — not a whole number
• 737 ÷ 6 = 122.833 — not a whole number
• 737 ÷ 7 = 105.286 — not a whole number
• 737 ÷ 8 = 92.125 — not a whole number
• 737 ÷ 9 = 81.889 — not a whole number
• 737 ÷ 10 = 73.7 — not a whole number
• 737 ÷ 11 = 67 — so 11 and 67 are factors
• 737 ÷ 12 = 61.417 — not a whole number
• 737 ÷ 13 = 56.692 — not a whole number
• 737 ÷ 14 = 52.643 — not a whole number
• 737 ÷ 15 = 49.133 — not a whole number
• 737 ÷ 16 = 46.063 — not a whole number
• 737 ÷ 17 = 43.353 — not a whole number
• 737 ÷ 18 = 40.944 — not a whole number
• 737 ÷ 19 = 38.789 — not a whole number
• 737 ÷ 20 = 36.85 — not a whole number
• 737 ÷ 21 = 35.095 — not a whole number
• 737 ÷ 22 = 33.5 — not a whole number
• 737 ÷ 23 = 32.043 — not a whole number
• 737 ÷ 24 = 30.708 — not a whole number
• 737 ÷ 25 = 29.48 — not a whole number
• 737 ÷ 26 = 28.346 — not a whole number
• 737 ÷ 27 = 27.296 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 11, 67 and 737.

Prime factorization of 737

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

The primes you divided by give 737 = 11 × 67. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 737

• 737 is a composite number.
• The sum of all its factors is 816; the sum of its proper factors (excluding 737) is 79, which makes it a deficient number (its proper factors add up to less than itself).
• 737 is not a perfect square, so its factors pair up evenly.
• Multiples of 737 include 1,474, 2,211, 2,948, 3,685 and so on.

Factors vs. multiples

Factors of 737 are the numbers that divide into it; multiples of 737 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.