Factors of 795
The factors of 795 are 1, 3, 5, 15, 53, 159, 265, and 795. In total, 795 has 8 factors. Its prime factorization is 3 × 5 × 53, and the sum of all its factors is 1296.
All factors of 795
Here are all 8 factors of 795, listed from smallest to largest.
Factor pairs of 795
These 4 pairs of whole numbers each multiply to give 795.
Prime factorization of 795
Dividing 795 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 795 are 3, 5, 53. To factorize any other number, use the prime factorization calculator.
Factor tree of 795
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 795
| Number of factors | 8 |
|---|---|
| Sum of factors | 1296 |
| Sum of proper factors | 501 |
| Prime factorization | 3 × 5 × 53 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 795 interesting
- 795 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.
- 795 is a deficient number: its proper factors sum to 501, which is 294 less than 795 itself.
- 795 has 3 distinct prime factors (3, 5, 53), which is why it has so many divisors.
How to find the factors of 795 yourself
Divide 795 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 √795 ≈ 28.20, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 5, 15, 53, 159, 265, 795. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 795.
Frequently asked questions about 795
What are the factors of 795?
Is 795 a prime number?
What is the prime factorization of 795?
What two numbers multiply to give 795?
What is the sum of the factors of 795?
Is 795 a perfect square?
What is the largest factor of 795 other than itself?
How many factors does 795 have?
Explore more
Try another number in the factor calculator, break 795 down further with the prime factorization calculator, or compare 795 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.