Factors of 752

How to find the factors of 752

Test every whole number from 1 up to the square root of 752 (√752 ≈ 27.423). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 752 ÷ 1 = 752 — so 1 and 752 are factors
• 752 ÷ 2 = 376 — so 2 and 376 are factors
• 752 ÷ 3 = 250.667 — not a whole number
• 752 ÷ 4 = 188 — so 4 and 188 are factors
• 752 ÷ 5 = 150.4 — not a whole number
• 752 ÷ 6 = 125.333 — not a whole number
• 752 ÷ 7 = 107.429 — not a whole number
• 752 ÷ 8 = 94 — so 8 and 94 are factors
• 752 ÷ 9 = 83.556 — not a whole number
• 752 ÷ 10 = 75.2 — not a whole number
• 752 ÷ 11 = 68.364 — not a whole number
• 752 ÷ 12 = 62.667 — not a whole number
• 752 ÷ 13 = 57.846 — not a whole number
• 752 ÷ 14 = 53.714 — not a whole number
• 752 ÷ 15 = 50.133 — not a whole number
• 752 ÷ 16 = 47 — so 16 and 47 are factors
• 752 ÷ 17 = 44.235 — not a whole number
• 752 ÷ 18 = 41.778 — not a whole number
• 752 ÷ 19 = 39.579 — not a whole number
• 752 ÷ 20 = 37.6 — not a whole number
• 752 ÷ 21 = 35.81 — not a whole number
• 752 ÷ 22 = 34.182 — not a whole number
• 752 ÷ 23 = 32.696 — not a whole number
• 752 ÷ 24 = 31.333 — not a whole number
• 752 ÷ 25 = 30.08 — not a whole number
• 752 ÷ 26 = 28.923 — not a whole number
• 752 ÷ 27 = 27.852 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 16, 47, 94, 188, 376 and 752.

Prime factorization of 752

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

The primes you divided by give 752 = 2⁴ × 47. From the exponents you can also count the factors without listing them: (4 + 1) × (1 + 1) = 10.

Properties of 752

• 752 is a composite number.
• The sum of all its factors is 1,488; the sum of its proper factors (excluding 752) is 736, which makes it a deficient number (its proper factors add up to less than itself).
• 752 is not a perfect square, so its factors pair up evenly.
• Multiples of 752 include 1,504, 2,256, 3,008, 3,760 and so on.

Factors vs. multiples

Factors of 752 are the numbers that divide into it; multiples of 752 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.