Factors of 362

How to find the factors of 362

Test every whole number from 1 up to the square root of 362 (√362 ≈ 19.026). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 362 ÷ 1 = 362 — so 1 and 362 are factors
• 362 ÷ 2 = 181 — so 2 and 181 are factors
• 362 ÷ 3 = 120.667 — not a whole number
• 362 ÷ 4 = 90.5 — not a whole number
• 362 ÷ 5 = 72.4 — not a whole number
• 362 ÷ 6 = 60.333 — not a whole number
• 362 ÷ 7 = 51.714 — not a whole number
• 362 ÷ 8 = 45.25 — not a whole number
• 362 ÷ 9 = 40.222 — not a whole number
• 362 ÷ 10 = 36.2 — not a whole number
• 362 ÷ 11 = 32.909 — not a whole number
• 362 ÷ 12 = 30.167 — not a whole number
• 362 ÷ 13 = 27.846 — not a whole number
• 362 ÷ 14 = 25.857 — not a whole number
• 362 ÷ 15 = 24.133 — not a whole number
• 362 ÷ 16 = 22.625 — not a whole number
• 362 ÷ 17 = 21.294 — not a whole number
• 362 ÷ 18 = 20.111 — not a whole number
• 362 ÷ 19 = 19.053 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 181 and 362.

Prime factorization of 362

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

The primes you divided by give 362 = 2 × 181. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 362

• 362 is a composite number.
• The sum of all its factors is 546; the sum of its proper factors (excluding 362) is 184, which makes it a deficient number (its proper factors add up to less than itself).
• 362 is not a perfect square, so its factors pair up evenly.
• Multiples of 362 include 724, 1,086, 1,448, 1,810 and so on.

Factors vs. multiples

Factors of 362 are the numbers that divide into it; multiples of 362 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.