Factors of 875
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, and 875. In total, 875 has 8 factors. Its prime factorization is 5³ × 7, and the sum of all its factors is 1248.
All factors of 875
Here are all 8 factors of 875, listed from smallest to largest.
Factor pairs of 875
These 4 pairs of whole numbers each multiply to give 875.
Prime factorization of 875
Dividing 875 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 875 are 5, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 875
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 875
| Number of factors | 8 |
|---|---|
| Sum of factors | 1248 |
| Sum of proper factors | 373 |
| Prime factorization | 5³ × 7 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 875 interesting
- 875 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.
- 875 is a deficient number: its proper factors sum to 373, which is 502 less than 875 itself.
How to find the factors of 875 yourself
Divide 875 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 √875 ≈ 29.58, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 7, 25, 35, 125, 175, 875. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 875.
Frequently asked questions about 875
What are the factors of 875?
Is 875 a prime number?
What is the prime factorization of 875?
What two numbers multiply to give 875?
What is the sum of the factors of 875?
Is 875 a perfect square?
What is the largest factor of 875 other than itself?
How many factors does 875 have?
Explore more
Try another number in the factor calculator, break 875 down further with the prime factorization calculator, or compare 875 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.