Factors of 738

How to find the factors of 738

Test every whole number from 1 up to the square root of 738 (√738 ≈ 27.166). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 738 ÷ 1 = 738 — so 1 and 738 are factors
• 738 ÷ 2 = 369 — so 2 and 369 are factors
• 738 ÷ 3 = 246 — so 3 and 246 are factors
• 738 ÷ 4 = 184.5 — not a whole number
• 738 ÷ 5 = 147.6 — not a whole number
• 738 ÷ 6 = 123 — so 6 and 123 are factors
• 738 ÷ 7 = 105.429 — not a whole number
• 738 ÷ 8 = 92.25 — not a whole number
• 738 ÷ 9 = 82 — so 9 and 82 are factors
• 738 ÷ 10 = 73.8 — not a whole number
• 738 ÷ 11 = 67.091 — not a whole number
• 738 ÷ 12 = 61.5 — not a whole number
• 738 ÷ 13 = 56.769 — not a whole number
• 738 ÷ 14 = 52.714 — not a whole number
• 738 ÷ 15 = 49.2 — not a whole number
• 738 ÷ 16 = 46.125 — not a whole number
• 738 ÷ 17 = 43.412 — not a whole number
• 738 ÷ 18 = 41 — so 18 and 41 are factors
• 738 ÷ 19 = 38.842 — not a whole number
• 738 ÷ 20 = 36.9 — not a whole number
• 738 ÷ 21 = 35.143 — not a whole number
• 738 ÷ 22 = 33.545 — not a whole number
• 738 ÷ 23 = 32.087 — not a whole number
• 738 ÷ 24 = 30.75 — not a whole number
• 738 ÷ 25 = 29.52 — not a whole number
• 738 ÷ 26 = 28.385 — not a whole number
• 738 ÷ 27 = 27.333 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738.

Prime factorization of 738

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

The primes you divided by give 738 = 2 × 3² × 41. From the exponents you can also count the factors without listing them: (1 + 1) × (2 + 1) × (1 + 1) = 12.

Properties of 738

• 738 is a composite number.
• The sum of all its factors is 1,638; the sum of its proper factors (excluding 738) is 900, which makes it a abundant number (its proper factors add up to more than itself).
• 738 is not a perfect square, so its factors pair up evenly.
• Multiples of 738 include 1,476, 2,214, 2,952, 3,690 and so on.

Factors vs. multiples

Factors of 738 are the numbers that divide into it; multiples of 738 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.