Factors of 595
The factors of 595 are 1, 5, 7, 17, 35, 85, 119, and 595. In total, 595 has 8 factors. Its prime factorization is 5 × 7 × 17, and the sum of all its factors is 864.
All factors of 595
Here are all 8 factors of 595, listed from smallest to largest.
Factor pairs of 595
These 4 pairs of whole numbers each multiply to give 595.
Prime factorization of 595
Dividing 595 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 595 are 5, 7, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 595
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 595
| Number of factors | 8 |
|---|---|
| Sum of factors | 864 |
| Sum of proper factors | 269 |
| Prime factorization | 5 × 7 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 595 interesting
- 595 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.
- 595 is a deficient number: its proper factors sum to 269, which is 326 less than 595 itself.
- 595 is a triangular number — it is the sum of the first 34 whole numbers (1 + 2 + … + 34 = 595).
- 595 has 3 distinct prime factors (5, 7, 17), which is why it has so many divisors.
How to find the factors of 595 yourself
Divide 595 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 √595 ≈ 24.39, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 7, 17, 35, 85, 119, 595. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 595.
Frequently asked questions about 595
What are the factors of 595?
Is 595 a prime number?
What is the prime factorization of 595?
What two numbers multiply to give 595?
What is the sum of the factors of 595?
Is 595 a perfect square?
What is the largest factor of 595 other than itself?
How many factors does 595 have?
Explore more
Try another number in the factor calculator, break 595 down further with the prime factorization calculator, or compare 595 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.