Factors of 744

How to find the factors of 744

Test every whole number from 1 up to the square root of 744 (√744 ≈ 27.276). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 744 ÷ 1 = 744 — so 1 and 744 are factors
• 744 ÷ 2 = 372 — so 2 and 372 are factors
• 744 ÷ 3 = 248 — so 3 and 248 are factors
• 744 ÷ 4 = 186 — so 4 and 186 are factors
• 744 ÷ 5 = 148.8 — not a whole number
• 744 ÷ 6 = 124 — so 6 and 124 are factors
• 744 ÷ 7 = 106.286 — not a whole number
• 744 ÷ 8 = 93 — so 8 and 93 are factors
• 744 ÷ 9 = 82.667 — not a whole number
• 744 ÷ 10 = 74.4 — not a whole number
• 744 ÷ 11 = 67.636 — not a whole number
• 744 ÷ 12 = 62 — so 12 and 62 are factors
• 744 ÷ 13 = 57.231 — not a whole number
• 744 ÷ 14 = 53.143 — not a whole number
• 744 ÷ 15 = 49.6 — not a whole number
• 744 ÷ 16 = 46.5 — not a whole number
• 744 ÷ 17 = 43.765 — not a whole number
• 744 ÷ 18 = 41.333 — not a whole number
• 744 ÷ 19 = 39.158 — not a whole number
• 744 ÷ 20 = 37.2 — not a whole number
• 744 ÷ 21 = 35.429 — not a whole number
• 744 ÷ 22 = 33.818 — not a whole number
• 744 ÷ 23 = 32.348 — not a whole number
• 744 ÷ 24 = 31 — so 24 and 31 are factors
• 744 ÷ 25 = 29.76 — not a whole number
• 744 ÷ 26 = 28.615 — not a whole number
• 744 ÷ 27 = 27.556 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372 and 744.

Prime factorization of 744

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

The primes you divided by give 744 = 2³ × 3 × 31. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) × (1 + 1) = 16.

Properties of 744

• 744 is a composite number.
• The sum of all its factors is 1,920; the sum of its proper factors (excluding 744) is 1,176, which makes it a abundant number (its proper factors add up to more than itself).
• 744 is not a perfect square, so its factors pair up evenly.
• Multiples of 744 include 1,488, 2,232, 2,976, 3,720 and so on.

Factors vs. multiples

Factors of 744 are the numbers that divide into it; multiples of 744 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.