Factors of 125
The factors of 125 are 1, 5, 25, and 125. In total, 125 has 4 factors. Its prime factorization is 5³, and the sum of all its factors is 156.
All factors of 125
Here are all 4 factors of 125, listed from smallest to largest.
Factor pairs of 125
These 2 pairs of whole numbers each multiply to give 125.
Prime factorization of 125
Dividing 125 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 125 are 5. To factorize any other number, use the prime factorization calculator.
Factor tree of 125
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 125
| Number of factors | 4 |
|---|---|
| Sum of factors | 156 |
| Sum of proper factors | 31 |
| Prime factorization | 5³ |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | Yes (5³) |
| Classification | Deficient |
What makes 125 interesting
- 125 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 125 is a perfect cube: 5 × 5 × 5 = 125.
- 125 is a deficient number: its proper factors sum to 31, which is 94 less than 125 itself.
- 125 is a prime power: it is 5 raised to the power of 3. All of its factors are powers of 5.
How to find the factors of 125 yourself
Divide 125 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 √125 ≈ 11.18, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 25, 125. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 125.
Frequently asked questions about 125
What are the factors of 125?
Is 125 a prime number?
What is the prime factorization of 125?
What two numbers multiply to give 125?
What is the sum of the factors of 125?
Is 125 a perfect square?
What is the largest factor of 125 other than itself?
How many factors does 125 have?
Explore more
Try another number in the factor calculator, break 125 down further with the prime factorization calculator, or compare 125 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.