Factors of 187
The factors of 187 are 1, 11, 17, and 187. In total, 187 has 4 factors. Its prime factorization is 11 × 17, and the sum of all its factors is 216.
All factors of 187
Here are all 4 factors of 187, listed from smallest to largest.
Factor pairs of 187
These 2 pairs of whole numbers each multiply to give 187.
Prime factorization of 187
Dividing 187 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 187 are 11, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 187
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 187
| Number of factors | 4 |
|---|---|
| Sum of factors | 216 |
| Sum of proper factors | 29 |
| Prime factorization | 11 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 187 interesting
- 187 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.
- 187 is a deficient number: its proper factors sum to 29, which is 158 less than 187 itself.
How to find the factors of 187 yourself
Divide 187 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 √187 ≈ 13.67, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 11, 17, 187. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 187.
Frequently asked questions about 187
What are the factors of 187?
Is 187 a prime number?
What is the prime factorization of 187?
What two numbers multiply to give 187?
What is the sum of the factors of 187?
Is 187 a perfect square?
What is the largest factor of 187 other than itself?
How many factors does 187 have?
Explore more
Try another number in the factor calculator, break 187 down further with the prime factorization calculator, or compare 187 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.