Factors of 189
The factors of 189 are 1, 3, 7, 9, 21, 27, 63, and 189. In total, 189 has 8 factors. Its prime factorization is 3³ × 7, and the sum of all its factors is 320.
All factors of 189
Here are all 8 factors of 189, listed from smallest to largest.
Factor pairs of 189
These 4 pairs of whole numbers each multiply to give 189.
Prime factorization of 189
Dividing 189 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 189 are 3, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 189
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 189
| Number of factors | 8 |
|---|---|
| Sum of factors | 320 |
| Sum of proper factors | 131 |
| Prime factorization | 3³ × 7 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 189 interesting
- 189 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.
- 189 is a deficient number: its proper factors sum to 131, which is 58 less than 189 itself.
How to find the factors of 189 yourself
Divide 189 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 √189 ≈ 13.75, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 7, 9, 21, 27, 63, 189. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 189.
Frequently asked questions about 189
What are the factors of 189?
Is 189 a prime number?
What is the prime factorization of 189?
What two numbers multiply to give 189?
What is the sum of the factors of 189?
Is 189 a perfect square?
What is the largest factor of 189 other than itself?
How many factors does 189 have?
Explore more
Try another number in the factor calculator, break 189 down further with the prime factorization calculator, or compare 189 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.