Factors of 835
The factors of 835 are 1, 5, 167, and 835. In total, 835 has 4 factors. Its prime factorization is 5 × 167, and the sum of all its factors is 1008.
All factors of 835
Here are all 4 factors of 835, listed from smallest to largest.
Factor pairs of 835
These 2 pairs of whole numbers each multiply to give 835.
Prime factorization of 835
Dividing 835 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 835 are 5, 167. To factorize any other number, use the prime factorization calculator.
Factor tree of 835
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 835
| Number of factors | 4 |
|---|---|
| Sum of factors | 1008 |
| Sum of proper factors | 173 |
| Prime factorization | 5 × 167 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 835 interesting
- 835 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.
- 835 is a deficient number: its proper factors sum to 173, which is 662 less than 835 itself.
How to find the factors of 835 yourself
Divide 835 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 √835 ≈ 28.90, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 167, 835. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 835.
Frequently asked questions about 835
What are the factors of 835?
Is 835 a prime number?
What is the prime factorization of 835?
What two numbers multiply to give 835?
What is the sum of the factors of 835?
Is 835 a perfect square?
What is the largest factor of 835 other than itself?
How many factors does 835 have?
Explore more
Try another number in the factor calculator, break 835 down further with the prime factorization calculator, or compare 835 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.