Factors of 375
The factors of 375 are 1, 3, 5, 15, 25, 75, 125, and 375. In total, 375 has 8 factors. Its prime factorization is 3 × 5³, and the sum of all its factors is 624.
All factors of 375
Here are all 8 factors of 375, listed from smallest to largest.
Factor pairs of 375
These 4 pairs of whole numbers each multiply to give 375.
Prime factorization of 375
Dividing 375 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 375 are 3, 5. To factorize any other number, use the prime factorization calculator.
Factor tree of 375
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 375
| Number of factors | 8 |
|---|---|
| Sum of factors | 624 |
| Sum of proper factors | 249 |
| Prime factorization | 3 × 5³ |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 375 interesting
- 375 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.
- 375 is a deficient number: its proper factors sum to 249, which is 126 less than 375 itself.
How to find the factors of 375 yourself
Divide 375 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 √375 ≈ 19.36, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 5, 15, 25, 75, 125, 375. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 375.
Frequently asked questions about 375
What are the factors of 375?
Is 375 a prime number?
What is the prime factorization of 375?
What two numbers multiply to give 375?
What is the sum of the factors of 375?
Is 375 a perfect square?
What is the largest factor of 375 other than itself?
How many factors does 375 have?
Explore more
Try another number in the factor calculator, break 375 down further with the prime factorization calculator, or compare 375 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.