Factors of 625
The factors of 625 are 1, 5, 25, 125, and 625. In total, 625 has 5 factors. Its prime factorization is 5⁴, and the sum of all its factors is 781. 625 is also a perfect square, equal to 25 × 25.
All factors of 625
Here are all 5 factors of 625, listed from smallest to largest.
Factor pairs of 625
These 3 pairs of whole numbers each multiply to give 625.
Notice the pair (25, 25) — because 625 is a perfect square, this pair uses the same number twice.
Prime factorization of 625
Dividing 625 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 625 are 5. To factorize any other number, use the prime factorization calculator.
Factor tree of 625
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 625
| Number of factors | 5 |
|---|---|
| Sum of factors | 781 |
| Sum of proper factors | 156 |
| Prime factorization | 5⁴ |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | Yes (25²) |
| Perfect cube? | No |
| Classification | Deficient |
What makes 625 interesting
- 625 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.
- 625 is a perfect square: 25 × 25 = 625. This is why it has an odd number of factors (5) — the pair (25, 25) counts only once.
- 625 is a deficient number: its proper factors sum to 156, which is 469 less than 625 itself.
- 625 is a prime power: it is 5 raised to the power of 4. All of its factors are powers of 5.
How to find the factors of 625 yourself
Divide 625 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 √625 ≈ 25.00, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 25, 125, 625. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 625.
Frequently asked questions about 625
What are the factors of 625?
Is 625 a prime number?
What is the prime factorization of 625?
What two numbers multiply to give 625?
What is the sum of the factors of 625?
Is 625 a perfect square?
What is the largest factor of 625 other than itself?
How many factors does 625 have?
Explore more
Try another number in the factor calculator, break 625 down further with the prime factorization calculator, or compare 625 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.