Factors of 742

How to find the factors of 742

Test every whole number from 1 up to the square root of 742 (√742 ≈ 27.240). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 742 ÷ 1 = 742 — so 1 and 742 are factors
• 742 ÷ 2 = 371 — so 2 and 371 are factors
• 742 ÷ 3 = 247.333 — not a whole number
• 742 ÷ 4 = 185.5 — not a whole number
• 742 ÷ 5 = 148.4 — not a whole number
• 742 ÷ 6 = 123.667 — not a whole number
• 742 ÷ 7 = 106 — so 7 and 106 are factors
• 742 ÷ 8 = 92.75 — not a whole number
• 742 ÷ 9 = 82.444 — not a whole number
• 742 ÷ 10 = 74.2 — not a whole number
• 742 ÷ 11 = 67.455 — not a whole number
• 742 ÷ 12 = 61.833 — not a whole number
• 742 ÷ 13 = 57.077 — not a whole number
• 742 ÷ 14 = 53 — so 14 and 53 are factors
• 742 ÷ 15 = 49.467 — not a whole number
• 742 ÷ 16 = 46.375 — not a whole number
• 742 ÷ 17 = 43.647 — not a whole number
• 742 ÷ 18 = 41.222 — not a whole number
• 742 ÷ 19 = 39.053 — not a whole number
• 742 ÷ 20 = 37.1 — not a whole number
• 742 ÷ 21 = 35.333 — not a whole number
• 742 ÷ 22 = 33.727 — not a whole number
• 742 ÷ 23 = 32.261 — not a whole number
• 742 ÷ 24 = 30.917 — not a whole number
• 742 ÷ 25 = 29.68 — not a whole number
• 742 ÷ 26 = 28.538 — not a whole number
• 742 ÷ 27 = 27.481 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 7, 14, 53, 106, 371 and 742.

Prime factorization of 742

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

The primes you divided by give 742 = 2 × 7 × 53. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 742

• 742 is a composite number.
• The sum of all its factors is 1,296; the sum of its proper factors (excluding 742) is 554, which makes it a deficient number (its proper factors add up to less than itself).
• 742 is not a perfect square, so its factors pair up evenly.
• Multiples of 742 include 1,484, 2,226, 2,968, 3,710 and so on.

Factors vs. multiples

Factors of 742 are the numbers that divide into it; multiples of 742 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.