Factors of 250
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, and 250. In total, 250 has 8 factors. Its prime factorization is 2 × 5³, and the sum of all its factors is 468.
All factors of 250
Here are all 8 factors of 250, listed from smallest to largest.
Factor pairs of 250
These 4 pairs of whole numbers each multiply to give 250.
Prime factorization of 250
Dividing 250 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 250 are 2, 5. To factorize any other number, use the prime factorization calculator.
Factor tree of 250
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 250
| Number of factors | 8 |
|---|---|
| Sum of factors | 468 |
| Sum of proper factors | 218 |
| Prime factorization | 2 × 5³ |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 250 interesting
- 250 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.
- 250 is a deficient number: its proper factors sum to 218, which is 32 less than 250 itself.
How to find the factors of 250 yourself
Divide 250 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 √250 ≈ 15.81, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 25, 50, 125, 250. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 250.
Frequently asked questions about 250
What are the factors of 250?
Is 250 a prime number?
What is the prime factorization of 250?
What two numbers multiply to give 250?
What is the sum of the factors of 250?
Is 250 a perfect square?
What is the largest factor of 250 other than itself?
How many factors does 250 have?
Explore more
Try another number in the factor calculator, break 250 down further with the prime factorization calculator, or compare 250 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.