Factors of 790
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, and 790. In total, 790 has 8 factors. Its prime factorization is 2 × 5 × 79, and the sum of all its factors is 1440.
All factors of 790
Here are all 8 factors of 790, listed from smallest to largest.
Factor pairs of 790
These 4 pairs of whole numbers each multiply to give 790.
Prime factorization of 790
Dividing 790 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 790 are 2, 5, 79. To factorize any other number, use the prime factorization calculator.
Factor tree of 790
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 790
| Number of factors | 8 |
|---|---|
| Sum of factors | 1440 |
| Sum of proper factors | 650 |
| Prime factorization | 2 × 5 × 79 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 790 interesting
- 790 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 790 is a deficient number: its proper factors sum to 650, which is 140 less than 790 itself.
- 790 has 3 distinct prime factors (2, 5, 79), which is why it has so many divisors.
How to find the factors of 790 yourself
Divide 790 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 √790 ≈ 28.11, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 79, 158, 395, 790. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 790.
Frequently asked questions about 790
What are the factors of 790?
Is 790 a prime number?
What is the prime factorization of 790?
What two numbers multiply to give 790?
What is the sum of the factors of 790?
Is 790 a perfect square?
What is the largest factor of 790 other than itself?
How many factors does 790 have?
Explore more
Try another number in the factor calculator, break 790 down further with the prime factorization calculator, or compare 790 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.