Factors of 746

How to find the factors of 746

Test every whole number from 1 up to the square root of 746 (√746 ≈ 27.313). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 746 ÷ 1 = 746 — so 1 and 746 are factors
• 746 ÷ 2 = 373 — so 2 and 373 are factors
• 746 ÷ 3 = 248.667 — not a whole number
• 746 ÷ 4 = 186.5 — not a whole number
• 746 ÷ 5 = 149.2 — not a whole number
• 746 ÷ 6 = 124.333 — not a whole number
• 746 ÷ 7 = 106.571 — not a whole number
• 746 ÷ 8 = 93.25 — not a whole number
• 746 ÷ 9 = 82.889 — not a whole number
• 746 ÷ 10 = 74.6 — not a whole number
• 746 ÷ 11 = 67.818 — not a whole number
• 746 ÷ 12 = 62.167 — not a whole number
• 746 ÷ 13 = 57.385 — not a whole number
• 746 ÷ 14 = 53.286 — not a whole number
• 746 ÷ 15 = 49.733 — not a whole number
• 746 ÷ 16 = 46.625 — not a whole number
• 746 ÷ 17 = 43.882 — not a whole number
• 746 ÷ 18 = 41.444 — not a whole number
• 746 ÷ 19 = 39.263 — not a whole number
• 746 ÷ 20 = 37.3 — not a whole number
• 746 ÷ 21 = 35.524 — not a whole number
• 746 ÷ 22 = 33.909 — not a whole number
• 746 ÷ 23 = 32.435 — not a whole number
• 746 ÷ 24 = 31.083 — not a whole number
• 746 ÷ 25 = 29.84 — not a whole number
• 746 ÷ 26 = 28.692 — not a whole number
• 746 ÷ 27 = 27.63 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 373 and 746.

Prime factorization of 746

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

The primes you divided by give 746 = 2 × 373. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 746

• 746 is a composite number.
• The sum of all its factors is 1,122; the sum of its proper factors (excluding 746) is 376, which makes it a deficient number (its proper factors add up to less than itself).
• 746 is not a perfect square, so its factors pair up evenly.
• Multiples of 746 include 1,492, 2,238, 2,984, 3,730 and so on.

Factors vs. multiples

Factors of 746 are the numbers that divide into it; multiples of 746 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.