Factors of 850
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, and 850. In total, 850 has 12 factors. Its prime factorization is 2 × 5² × 17, and the sum of all its factors is 1674.
All factors of 850
Here are all 12 factors of 850, listed from smallest to largest.
Factor pairs of 850
These 6 pairs of whole numbers each multiply to give 850.
Prime factorization of 850
Dividing 850 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 850 are 2, 5, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 850
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 850
| Number of factors | 12 |
|---|---|
| Sum of factors | 1674 |
| Sum of proper factors | 824 |
| Prime factorization | 2 × 5² × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 850 interesting
- 850 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 850 is a deficient number: its proper factors sum to 824, which is 26 less than 850 itself.
- 850 has 3 distinct prime factors (2, 5, 17), which is why it has so many divisors.
How to find the factors of 850 yourself
Divide 850 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 √850 ≈ 29.15, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 850.
Frequently asked questions about 850
What are the factors of 850?
Is 850 a prime number?
What is the prime factorization of 850?
What two numbers multiply to give 850?
What is the sum of the factors of 850?
Is 850 a perfect square?
What is the largest factor of 850 other than itself?
How many factors does 850 have?
Explore more
Try another number in the factor calculator, break 850 down further with the prime factorization calculator, or compare 850 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.