Factors of 723
The factors of 723 are 1, 3, 241, and 723. In total, 723 has 4 factors. Its prime factorization is 3 × 241, and the sum of all its factors is 968.
All factors of 723
Here are all 4 factors of 723, listed from smallest to largest.
Factor pairs of 723
These 2 pairs of whole numbers each multiply to give 723.
Prime factorization of 723
Dividing 723 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 723 are 3, 241. To factorize any other number, use the prime factorization calculator.
Factor tree of 723
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 723
| Number of factors | 4 |
|---|---|
| Sum of factors | 968 |
| Sum of proper factors | 245 |
| Prime factorization | 3 × 241 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 723 interesting
- 723 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.
- 723 is a deficient number: its proper factors sum to 245, which is 478 less than 723 itself.
How to find the factors of 723 yourself
Divide 723 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 √723 ≈ 26.89, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 241, 723. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 723.
Frequently asked questions about 723
What are the factors of 723?
Is 723 a prime number?
What is the prime factorization of 723?
What two numbers multiply to give 723?
What is the sum of the factors of 723?
Is 723 a perfect square?
What is the largest factor of 723 other than itself?
How many factors does 723 have?
Explore more
Try another number in the factor calculator, break 723 down further with the prime factorization calculator, or compare 723 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.