Factors of 749

How to find the factors of 749

Test every whole number from 1 up to the square root of 749 (√749 ≈ 27.368). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 749 ÷ 1 = 749 — so 1 and 749 are factors
• 749 ÷ 2 = 374.5 — not a whole number
• 749 ÷ 3 = 249.667 — not a whole number
• 749 ÷ 4 = 187.25 — not a whole number
• 749 ÷ 5 = 149.8 — not a whole number
• 749 ÷ 6 = 124.833 — not a whole number
• 749 ÷ 7 = 107 — so 7 and 107 are factors
• 749 ÷ 8 = 93.625 — not a whole number
• 749 ÷ 9 = 83.222 — not a whole number
• 749 ÷ 10 = 74.9 — not a whole number
• 749 ÷ 11 = 68.091 — not a whole number
• 749 ÷ 12 = 62.417 — not a whole number
• 749 ÷ 13 = 57.615 — not a whole number
• 749 ÷ 14 = 53.5 — not a whole number
• 749 ÷ 15 = 49.933 — not a whole number
• 749 ÷ 16 = 46.813 — not a whole number
• 749 ÷ 17 = 44.059 — not a whole number
• 749 ÷ 18 = 41.611 — not a whole number
• 749 ÷ 19 = 39.421 — not a whole number
• 749 ÷ 20 = 37.45 — not a whole number
• 749 ÷ 21 = 35.667 — not a whole number
• 749 ÷ 22 = 34.045 — not a whole number
• 749 ÷ 23 = 32.565 — not a whole number
• 749 ÷ 24 = 31.208 — not a whole number
• 749 ÷ 25 = 29.96 — not a whole number
• 749 ÷ 26 = 28.808 — not a whole number
• 749 ÷ 27 = 27.741 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 7, 107 and 749.

Prime factorization of 749

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

The primes you divided by give 749 = 7 × 107. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 749

• 749 is a composite number.
• The sum of all its factors is 864; the sum of its proper factors (excluding 749) is 115, which makes it a deficient number (its proper factors add up to less than itself).
• 749 is not a perfect square, so its factors pair up evenly.
• Multiples of 749 include 1,498, 2,247, 2,996, 3,745 and so on.

Factors vs. multiples

Factors of 749 are the numbers that divide into it; multiples of 749 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.