Factors of 724
The factors of 724 are 1, 2, 4, 181, 362, and 724. In total, 724 has 6 factors. Its prime factorization is 2² × 181, and the sum of all its factors is 1274.
All factors of 724
Here are all 6 factors of 724, listed from smallest to largest.
Factor pairs of 724
These 3 pairs of whole numbers each multiply to give 724.
Prime factorization of 724
Dividing 724 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 724 are 2, 181. To factorize any other number, use the prime factorization calculator.
Factor tree of 724
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 724
| Number of factors | 6 |
|---|---|
| Sum of factors | 1274 |
| Sum of proper factors | 550 |
| Prime factorization | 2² × 181 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 724 interesting
- 724 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.
- 724 is a deficient number: its proper factors sum to 550, which is 174 less than 724 itself.
How to find the factors of 724 yourself
Divide 724 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 √724 ≈ 26.91, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 181, 362, 724. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 724.
Frequently asked questions about 724
What are the factors of 724?
Is 724 a prime number?
What is the prime factorization of 724?
What two numbers multiply to give 724?
What is the sum of the factors of 724?
Is 724 a perfect square?
What is the largest factor of 724 other than itself?
How many factors does 724 have?
Explore more
Try another number in the factor calculator, break 724 down further with the prime factorization calculator, or compare 724 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.