Factors of 1025
The factors of 1025 are 1, 5, 25, 41, 205, and 1025. In total, 1025 has 6 factors. Its prime factorization is 5² × 41, and the sum of all its factors is 1302.
All factors of 1025
Here are all 6 factors of 1025, listed from smallest to largest.
Factor pairs of 1025
These 3 pairs of whole numbers each multiply to give 1025.
Prime factorization of 1025
Dividing 1025 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1025 are 5, 41. To factorize any other number, use the prime factorization calculator.
Factor tree of 1025
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1025
| Number of factors | 6 |
|---|---|
| Sum of factors | 1302 |
| Sum of proper factors | 277 |
| Prime factorization | 5² × 41 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1025 interesting
- 1025 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 1025 is a deficient number: its proper factors sum to 277, which is 748 less than 1025 itself.
How to find the factors of 1025 yourself
Divide 1025 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 √1025 ≈ 32.02, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 25, 41, 205, 1025. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1025.
Frequently asked questions about 1025
What are the factors of 1025?
Is 1025 a prime number?
What is the prime factorization of 1025?
What two numbers multiply to give 1025?
What is the sum of the factors of 1025?
Is 1025 a perfect square?
What is the largest factor of 1025 other than itself?
How many factors does 1025 have?
Explore more
Try another number in the factor calculator, break 1025 down further with the prime factorization calculator, or compare 1025 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.