Factors of 542

How to find the factors of 542

Test every whole number from 1 up to the square root of 542 (√542 ≈ 23.281). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 542 ÷ 1 = 542 — so 1 and 542 are factors
• 542 ÷ 2 = 271 — so 2 and 271 are factors
• 542 ÷ 3 = 180.667 — not a whole number
• 542 ÷ 4 = 135.5 — not a whole number
• 542 ÷ 5 = 108.4 — not a whole number
• 542 ÷ 6 = 90.333 — not a whole number
• 542 ÷ 7 = 77.429 — not a whole number
• 542 ÷ 8 = 67.75 — not a whole number
• 542 ÷ 9 = 60.222 — not a whole number
• 542 ÷ 10 = 54.2 — not a whole number
• 542 ÷ 11 = 49.273 — not a whole number
• 542 ÷ 12 = 45.167 — not a whole number
• 542 ÷ 13 = 41.692 — not a whole number
• 542 ÷ 14 = 38.714 — not a whole number
• 542 ÷ 15 = 36.133 — not a whole number
• 542 ÷ 16 = 33.875 — not a whole number
• 542 ÷ 17 = 31.882 — not a whole number
• 542 ÷ 18 = 30.111 — not a whole number
• 542 ÷ 19 = 28.526 — not a whole number
• 542 ÷ 20 = 27.1 — not a whole number
• 542 ÷ 21 = 25.81 — not a whole number
• 542 ÷ 22 = 24.636 — not a whole number
• 542 ÷ 23 = 23.565 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 271 and 542.

Prime factorization of 542

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

The primes you divided by give 542 = 2 × 271. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 542

• 542 is a composite number.
• The sum of all its factors is 816; the sum of its proper factors (excluding 542) is 274, which makes it a deficient number (its proper factors add up to less than itself).
• 542 is not a perfect square, so its factors pair up evenly.
• Multiples of 542 include 1,084, 1,626, 2,168, 2,710 and so on.

Factors vs. multiples

Factors of 542 are the numbers that divide into it; multiples of 542 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.