Factors of 789
The factors of 789 are 1, 3, 263, and 789. In total, 789 has 4 factors. Its prime factorization is 3 × 263, and the sum of all its factors is 1056.
All factors of 789
Here are all 4 factors of 789, listed from smallest to largest.
Factor pairs of 789
These 2 pairs of whole numbers each multiply to give 789.
Prime factorization of 789
Dividing 789 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 789 are 3, 263. To factorize any other number, use the prime factorization calculator.
Factor tree of 789
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 789
| Number of factors | 4 |
|---|---|
| Sum of factors | 1056 |
| Sum of proper factors | 267 |
| Prime factorization | 3 × 263 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 789 interesting
- 789 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.
- 789 is a deficient number: its proper factors sum to 267, which is 522 less than 789 itself.
How to find the factors of 789 yourself
Divide 789 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 √789 ≈ 28.09, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 263, 789. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 789.
Frequently asked questions about 789
What are the factors of 789?
Is 789 a prime number?
What is the prime factorization of 789?
What two numbers multiply to give 789?
What is the sum of the factors of 789?
Is 789 a perfect square?
What is the largest factor of 789 other than itself?
How many factors does 789 have?
Explore more
Try another number in the factor calculator, break 789 down further with the prime factorization calculator, or compare 789 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.