Factors of 342

How to find the factors of 342

Test every whole number from 1 up to the square root of 342 (√342 ≈ 18.493). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 342 ÷ 1 = 342 — so 1 and 342 are factors
• 342 ÷ 2 = 171 — so 2 and 171 are factors
• 342 ÷ 3 = 114 — so 3 and 114 are factors
• 342 ÷ 4 = 85.5 — not a whole number
• 342 ÷ 5 = 68.4 — not a whole number
• 342 ÷ 6 = 57 — so 6 and 57 are factors
• 342 ÷ 7 = 48.857 — not a whole number
• 342 ÷ 8 = 42.75 — not a whole number
• 342 ÷ 9 = 38 — so 9 and 38 are factors
• 342 ÷ 10 = 34.2 — not a whole number
• 342 ÷ 11 = 31.091 — not a whole number
• 342 ÷ 12 = 28.5 — not a whole number
• 342 ÷ 13 = 26.308 — not a whole number
• 342 ÷ 14 = 24.429 — not a whole number
• 342 ÷ 15 = 22.8 — not a whole number
• 342 ÷ 16 = 21.375 — not a whole number
• 342 ÷ 17 = 20.118 — not a whole number
• 342 ÷ 18 = 19 — so 18 and 19 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171 and 342.

Prime factorization of 342

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

The primes you divided by give 342 = 2 × 3² × 19. From the exponents you can also count the factors without listing them: (1 + 1) × (2 + 1) × (1 + 1) = 12.

Properties of 342

• 342 is a composite number.
• The sum of all its factors is 780; the sum of its proper factors (excluding 342) is 438, which makes it a abundant number (its proper factors add up to more than itself).
• 342 is not a perfect square, so its factors pair up evenly.
• Multiples of 342 include 684, 1,026, 1,368, 1,710 and so on.

Factors vs. multiples

Factors of 342 are the numbers that divide into it; multiples of 342 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.