Factor Calculator

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. In total, 702 has 16 factors. Its prime factorization is 2 × 3³ × 13, and the sum of all its factors is 1680.

All factors of 702

Here are all 16 factors of 702, listed from smallest to largest.

1236913182627395478117234351702

Factor pairs of 702

These 8 pairs of whole numbers each multiply to give 702.

1 × 702 = 702
2 × 351 = 702
3 × 234 = 702
6 × 117 = 702
9 × 78 = 702
13 × 54 = 702
18 × 39 = 702
26 × 27 = 702

Prime factorization of 702

Dividing 702 by the smallest prime at each step gives its prime factorization:

702 ÷ 2 = 351
351 ÷ 3 = 117
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1
Result: 702 = 2 × 3 × 3 × 3 × 13 = 2 × 3³ × 13

The distinct prime factors of 702 are 2, 3, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 702

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 70270223513117339313
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 702

Number of factors16
Sum of factors1680
Sum of proper factors978
Prime factorization2 × 3³ × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 702 interesting

  • 702 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 702 is an abundant number: its proper factors sum to 978, which is 276 more than 702 itself.
  • 702 has 3 distinct prime factors (2, 3, 13), which is why it has so many divisors.

How to find the factors of 702 yourself

Divide 702 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √702 ≈ 26.50, because every factor above that pairs with one below it.

702 ÷ 1 = 702 ✓
702 ÷ 2 = 351 ✓
702 ÷ 3 = 234 ✓
702 ÷ 6 = 117 ✓
702 ÷ 9 = 78 ✓
702 ÷ 13 = 54 ✓
702 ÷ 18 = 39 ✓
702 ÷ 26 = 27 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702. The factor calculator does this automatically for any number.

Numbers mathematically connected to 702.

Frequently asked questions about 702

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. That is 16 factors in total, counting both 1 and 702.

Is 702 a prime number?

No, 702 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 702 is also divisible by 2.

What is the prime factorization of 702?

The prime factorization of 702 is 2 × 3³ × 13. Written out in full: 2 × 3 × 3 × 3 × 13 = 702. Its distinct prime factors are 2, 3, 13.

What two numbers multiply to give 702?

There are 8 pairs of whole numbers that multiply to 702: 1 × 702, 2 × 351, 3 × 234, 6 × 117, 9 × 78, 13 × 54, 18 × 39, 26 × 27.

What is the sum of the factors of 702?

Adding all the factors of 702 together gives 1680. Excluding 702 itself, the proper factors sum to 978.

Is 702 a perfect square?

No, 702 is not a perfect square. There is no whole number that multiplies by itself to give 702. The nearest perfect squares are 676 and 729.

What is the largest factor of 702 other than itself?

The largest factor of 702 apart from 702 itself is 351, since 702 ÷ 351 = 2.

How many factors does 702 have?

702 has 16 factors: 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, and 702. You can verify this from the prime factorization 2 × 3³ × 13: add 1 to each exponent and multiply, giving 2 × 4 × 2 = 16.

Explore more

Try another number in the factor calculator, break 702 down further with the prime factorization calculator, or compare 702 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.