Factor Calculator

Factors of 710

The factors of 710 are 1, 2, 5, 10, 71, 142, 355, and 710. In total, 710 has 8 factors. Its prime factorization is 2 × 5 × 71, and the sum of all its factors is 1296.

All factors of 710

Here are all 8 factors of 710, listed from smallest to largest.

1251071142355710

Factor pairs of 710

These 4 pairs of whole numbers each multiply to give 710.

1 × 710 = 710
2 × 355 = 710
5 × 142 = 710
10 × 71 = 710

Prime factorization of 710

Dividing 710 by the smallest prime at each step gives its prime factorization:

710 ÷ 2 = 355
355 ÷ 5 = 71
71 ÷ 71 = 1
Result: 710 = 2 × 5 × 71 = 2 × 5 × 71

The distinct prime factors of 710 are 2, 5, 71. To factorize any other number, use the prime factorization calculator.

Factor tree of 710

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

Factor tree of 7107102355571
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 710

Number of factors8
Sum of factors1296
Sum of proper factors586
Prime factorization2 × 5 × 71
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 710 interesting

  • 710 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 710 is a deficient number: its proper factors sum to 586, which is 124 less than 710 itself.
  • 710 has 3 distinct prime factors (2, 5, 71), which is why it has so many divisors.

How to find the factors of 710 yourself

Divide 710 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 √71026.65, because every factor above that pairs with one below it.

710 ÷ 1 = 710
710 ÷ 2 = 355
710 ÷ 5 = 142
710 ÷ 10 = 71

Reading both columns gives every factor: 1, 2, 5, 10, 71, 142, 355, 710. The factor calculator does this automatically for any number.

Frequently asked questions about 710

What are the factors of 710?

The factors of 710 are 1, 2, 5, 10, 71, 142, 355, and 710. That is 8 factors in total, counting both 1 and 710.

Is 710 a prime number?

No, 710 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 710 is also divisible by 2.

What is the prime factorization of 710?

The prime factorization of 710 is 2 × 5 × 71. Written out in full: 2 × 5 × 71 = 710. Its distinct prime factors are 2, 5, 71.

What two numbers multiply to give 710?

There are 4 pairs of whole numbers that multiply to 710: 1 × 710, 2 × 355, 5 × 142, 10 × 71.

What is the sum of the factors of 710?

Adding all the factors of 710 together gives 1296. Excluding 710 itself, the proper factors sum to 586.

Is 710 a perfect square?

No, 710 is not a perfect square. There is no whole number that multiplies by itself to give 710. The nearest perfect squares are 676 and 729.

What is the largest factor of 710 other than itself?

The largest factor of 710 apart from 710 itself is 355, since 710 ÷ 355 = 2.

How many factors does 710 have?

710 has 8 factors: 1, 2, 5, 10, 71, 142, 355, and 710. You can verify this from the prime factorization 2 × 5 × 71: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 710 down further with the prime factorization calculator, or compare 710 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.