Factors of 711
The factors of 711 are 1, 3, 9, 79, 237, and 711. In total, 711 has 6 factors. Its prime factorization is 3² × 79, and the sum of all its factors is 1040.
All factors of 711
Here are all 6 factors of 711, listed from smallest to largest.
Factor pairs of 711
These 3 pairs of whole numbers each multiply to give 711.
Prime factorization of 711
Dividing 711 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 711 are 3, 79. To factorize any other number, use the prime factorization calculator.
Factor tree of 711
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 711
| Number of factors | 6 |
|---|---|
| Sum of factors | 1040 |
| Sum of proper factors | 329 |
| Prime factorization | 3² × 79 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 711 interesting
- 711 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 711 is a deficient number: its proper factors sum to 329, which is 382 less than 711 itself.
How to find the factors of 711 yourself
Divide 711 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 √711 ≈ 26.66, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 9, 79, 237, 711. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 711.
Frequently asked questions about 711
What are the factors of 711?
Is 711 a prime number?
What is the prime factorization of 711?
What two numbers multiply to give 711?
What is the sum of the factors of 711?
Is 711 a perfect square?
What is the largest factor of 711 other than itself?
How many factors does 711 have?
Explore more
Try another number in the factor calculator, break 711 down further with the prime factorization calculator, or compare 711 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.