Factors of 748

How to find the factors of 748

Test every whole number from 1 up to the square root of 748 (√748 ≈ 27.350). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 748 ÷ 1 = 748 — so 1 and 748 are factors
• 748 ÷ 2 = 374 — so 2 and 374 are factors
• 748 ÷ 3 = 249.333 — not a whole number
• 748 ÷ 4 = 187 — so 4 and 187 are factors
• 748 ÷ 5 = 149.6 — not a whole number
• 748 ÷ 6 = 124.667 — not a whole number
• 748 ÷ 7 = 106.857 — not a whole number
• 748 ÷ 8 = 93.5 — not a whole number
• 748 ÷ 9 = 83.111 — not a whole number
• 748 ÷ 10 = 74.8 — not a whole number
• 748 ÷ 11 = 68 — so 11 and 68 are factors
• 748 ÷ 12 = 62.333 — not a whole number
• 748 ÷ 13 = 57.538 — not a whole number
• 748 ÷ 14 = 53.429 — not a whole number
• 748 ÷ 15 = 49.867 — not a whole number
• 748 ÷ 16 = 46.75 — not a whole number
• 748 ÷ 17 = 44 — so 17 and 44 are factors
• 748 ÷ 18 = 41.556 — not a whole number
• 748 ÷ 19 = 39.368 — not a whole number
• 748 ÷ 20 = 37.4 — not a whole number
• 748 ÷ 21 = 35.619 — not a whole number
• 748 ÷ 22 = 34 — so 22 and 34 are factors
• 748 ÷ 23 = 32.522 — not a whole number
• 748 ÷ 24 = 31.167 — not a whole number
• 748 ÷ 25 = 29.92 — not a whole number
• 748 ÷ 26 = 28.769 — not a whole number
• 748 ÷ 27 = 27.704 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374 and 748.

Prime factorization of 748

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

The primes you divided by give 748 = 2² × 11 × 17. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 748

• 748 is a composite number.
• The sum of all its factors is 1,512; the sum of its proper factors (excluding 748) is 764, which makes it a abundant number (its proper factors add up to more than itself).
• 748 is not a perfect square, so its factors pair up evenly.
• Multiples of 748 include 1,496, 2,244, 2,992, 3,740 and so on.

Factors vs. multiples

Factors of 748 are the numbers that divide into it; multiples of 748 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.