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.
Factor pairs of 710
These 4 pairs of whole numbers each multiply to give 710.
Prime factorization of 710
Dividing 710 by the smallest prime at each step gives its prime factorization:
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.
Properties of 710
| Number of factors | 8 |
|---|---|
| Sum of factors | 1296 |
| Sum of proper factors | 586 |
| Prime factorization | 2 × 5 × 71 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √710 ≈ 26.65, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 71, 142, 355, 710. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 710.
Frequently asked questions about 710
What are the factors of 710?
Is 710 a prime number?
What is the prime factorization of 710?
What two numbers multiply to give 710?
What is the sum of the factors of 710?
Is 710 a perfect square?
What is the largest factor of 710 other than itself?
How many factors does 710 have?
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.