Factors of 725
The factors of 725 are 1, 5, 25, 29, 145, and 725. In total, 725 has 6 factors. Its prime factorization is 5² × 29, and the sum of all its factors is 930.
All factors of 725
Here are all 6 factors of 725, listed from smallest to largest.
Factor pairs of 725
These 3 pairs of whole numbers each multiply to give 725.
Prime factorization of 725
Dividing 725 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 725 are 5, 29. To factorize any other number, use the prime factorization calculator.
Factor tree of 725
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 725
| Number of factors | 6 |
|---|---|
| Sum of factors | 930 |
| Sum of proper factors | 205 |
| Prime factorization | 5² × 29 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 725 interesting
- 725 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.
- 725 is a deficient number: its proper factors sum to 205, which is 520 less than 725 itself.
How to find the factors of 725 yourself
Divide 725 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 √725 ≈ 26.93, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 25, 29, 145, 725. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 725.
Frequently asked questions about 725
What are the factors of 725?
Is 725 a prime number?
What is the prime factorization of 725?
What two numbers multiply to give 725?
What is the sum of the factors of 725?
Is 725 a perfect square?
What is the largest factor of 725 other than itself?
How many factors does 725 have?
Explore more
Try another number in the factor calculator, break 725 down further with the prime factorization calculator, or compare 725 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.