Factors of 713
The factors of 713 are 1, 23, 31, and 713. In total, 713 has 4 factors. Its prime factorization is 23 × 31, and the sum of all its factors is 768.
All factors of 713
Here are all 4 factors of 713, listed from smallest to largest.
Factor pairs of 713
These 2 pairs of whole numbers each multiply to give 713.
Prime factorization of 713
Dividing 713 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 713 are 23, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 713
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 713
| Number of factors | 4 |
|---|---|
| Sum of factors | 768 |
| Sum of proper factors | 55 |
| Prime factorization | 23 × 31 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 713 interesting
- 713 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 713 is a deficient number: its proper factors sum to 55, which is 658 less than 713 itself.
How to find the factors of 713 yourself
Divide 713 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 √713 ≈ 26.70, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 23, 31, 713. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 713.
Frequently asked questions about 713
What are the factors of 713?
Is 713 a prime number?
What is the prime factorization of 713?
What two numbers multiply to give 713?
What is the sum of the factors of 713?
Is 713 a perfect square?
What is the largest factor of 713 other than itself?
How many factors does 713 have?
Explore more
Try another number in the factor calculator, break 713 down further with the prime factorization calculator, or compare 713 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.