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Factors of 612

612 has 18 factors: 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306 and 612. Its prime factorization is 2² × 3² × 17.

Factor pairs of 612

Factor×FactorProduct
1×612612
2×306612
3×204612
4×153612
6×102612
9×68612
12×51612
17×36612
18×34612

Negative pairs work too: (−1) × (−612), (−2) × (−306), … = 612.

Number of factors
18
Factor pairs
9
Sum of factors
1,638
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2² × 3² × 17

How to find the factors of 612

Test every whole number from 1 up to the square root of 612 (√612 ≈ 24.739). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 612 ÷ 1 = 612 — so 1 and 612 are factors
  • 612 ÷ 2 = 306 — so 2 and 306 are factors
  • 612 ÷ 3 = 204 — so 3 and 204 are factors
  • 612 ÷ 4 = 153 — so 4 and 153 are factors
  • 612 ÷ 5 = 122.4 — not a whole number
  • 612 ÷ 6 = 102 — so 6 and 102 are factors
  • 612 ÷ 7 = 87.429 — not a whole number
  • 612 ÷ 8 = 76.5 — not a whole number
  • 612 ÷ 9 = 68 — so 9 and 68 are factors
  • 612 ÷ 10 = 61.2 — not a whole number
  • 612 ÷ 11 = 55.636 — not a whole number
  • 612 ÷ 12 = 51 — so 12 and 51 are factors
  • 612 ÷ 13 = 47.077 — not a whole number
  • 612 ÷ 14 = 43.714 — not a whole number
  • 612 ÷ 15 = 40.8 — not a whole number
  • 612 ÷ 16 = 38.25 — not a whole number
  • 612 ÷ 17 = 36 — so 17 and 36 are factors
  • 612 ÷ 18 = 34 — so 18 and 34 are factors
  • 612 ÷ 19 = 32.211 — not a whole number
  • 612 ÷ 20 = 30.6 — not a whole number
  • 612 ÷ 21 = 29.143 — not a whole number
  • 612 ÷ 22 = 27.818 — not a whole number
  • 612 ÷ 23 = 26.609 — not a whole number
  • 612 ÷ 24 = 25.5 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306 and 612.

Prime factorization of 612

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

612 ÷ 2 = 306
306 ÷ 2 = 153
153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1

The primes you divided by give 612 = 2² × 3² × 17. From the exponents you can also count the factors without listing them: (2 + 1) × (2 + 1) × (1 + 1) = 18.

Properties of 612

  • 612 is a composite number.
  • The sum of all its factors is 1,638; the sum of its proper factors (excluding 612) is 1,026, which makes it a abundant number (its proper factors add up to more than itself).
  • 612 is not a perfect square, so its factors pair up evenly.
  • Multiples of 612 include 1,224, 1,836, 2,448, 3,060 and so on.

Factors vs. multiples

Factors of 612 are the numbers that divide into it; multiples of 612 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.

Frequently asked questions

What are the factors of 612?

The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306 and 612. Each of these divides 612 with no remainder.

How many factors does 612 have?

612 has 18 positive factors, which form 9 factor pairs. Counting negative factors as well doubles that to 36.

What is the prime factorization of 612?

612 = 2² × 3² × 17. Its distinct prime factors are 2, 3 and 17.

Is 612 a prime number?

No. 612 is composite because it has 18 factors, more than the two a prime number has.