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Factors of 702

702 has 16 factors: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351 and 702. Its prime factorization is 2 × 3³ × 13.

Factor pairs of 702

Factor×FactorProduct
1×702702
2×351702
3×234702
6×117702
9×78702
13×54702
18×39702
26×27702

Negative pairs work too: (−1) × (−702), (−2) × (−351), … = 702.

Number of factors
16
Factor pairs
8
Sum of factors
1,680
Prime or composite
Composite
Even or odd
Even
Perfect square
No
Prime factorization 2 × 3³ × 13

How to find the factors of 702

Test every whole number from 1 up to the square root of 702 (√702 ≈ 26.495). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

  • 702 ÷ 1 = 702 — so 1 and 702 are factors
  • 702 ÷ 2 = 351 — so 2 and 351 are factors
  • 702 ÷ 3 = 234 — so 3 and 234 are factors
  • 702 ÷ 4 = 175.5 — not a whole number
  • 702 ÷ 5 = 140.4 — not a whole number
  • 702 ÷ 6 = 117 — so 6 and 117 are factors
  • 702 ÷ 7 = 100.286 — not a whole number
  • 702 ÷ 8 = 87.75 — not a whole number
  • 702 ÷ 9 = 78 — so 9 and 78 are factors
  • 702 ÷ 10 = 70.2 — not a whole number
  • 702 ÷ 11 = 63.818 — not a whole number
  • 702 ÷ 12 = 58.5 — not a whole number
  • 702 ÷ 13 = 54 — so 13 and 54 are factors
  • 702 ÷ 14 = 50.143 — not a whole number
  • 702 ÷ 15 = 46.8 — not a whole number
  • 702 ÷ 16 = 43.875 — not a whole number
  • 702 ÷ 17 = 41.294 — not a whole number
  • 702 ÷ 18 = 39 — so 18 and 39 are factors
  • 702 ÷ 19 = 36.947 — not a whole number
  • 702 ÷ 20 = 35.1 — not a whole number
  • 702 ÷ 21 = 33.429 — not a whole number
  • 702 ÷ 22 = 31.909 — not a whole number
  • 702 ÷ 23 = 30.522 — not a whole number
  • 702 ÷ 24 = 29.25 — not a whole number
  • 702 ÷ 25 = 28.08 — not a whole number
  • 702 ÷ 26 = 27 — so 26 and 27 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351 and 702.

Prime factorization of 702

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

702 ÷ 2 = 351
351 ÷ 3 = 117
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1

The primes you divided by give 702 = 2 × 3³ × 13. From the exponents you can also count the factors without listing them: (1 + 1) × (3 + 1) × (1 + 1) = 16.

Properties of 702

  • 702 is a composite number.
  • The sum of all its factors is 1,680; the sum of its proper factors (excluding 702) is 978, which makes it a abundant number (its proper factors add up to more than itself).
  • 702 is not a perfect square, so its factors pair up evenly.
  • Multiples of 702 include 1,404, 2,106, 2,808, 3,510 and so on.

Factors vs. multiples

Factors of 702 are the numbers that divide into it; multiples of 702 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 702?

The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351 and 702. Each of these divides 702 with no remainder.

How many factors does 702 have?

702 has 16 positive factors, which form 8 factor pairs. Counting negative factors as well doubles that to 32.

What is the prime factorization of 702?

702 = 2 × 3³ × 13. Its distinct prime factors are 2, 3 and 13.

Is 702 a prime number?

No. 702 is composite because it has 16 factors, more than the two a prime number has.