Factors of 188
The factors of 188 are 1, 2, 4, 47, 94, and 188. In total, 188 has 6 factors. Its prime factorization is 2² × 47, and the sum of all its factors is 336.
All factors of 188
Here are all 6 factors of 188, listed from smallest to largest.
Factor pairs of 188
These 3 pairs of whole numbers each multiply to give 188.
Prime factorization of 188
Dividing 188 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 188 are 2, 47. To factorize any other number, use the prime factorization calculator.
Factor tree of 188
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 188
| Number of factors | 6 |
|---|---|
| Sum of factors | 336 |
| Sum of proper factors | 148 |
| Prime factorization | 2² × 47 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 188 interesting
- 188 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.
- 188 is a deficient number: its proper factors sum to 148, which is 40 less than 188 itself.
How to find the factors of 188 yourself
Divide 188 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 √188 ≈ 13.71, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 47, 94, 188. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 188.
Frequently asked questions about 188
What are the factors of 188?
Is 188 a prime number?
What is the prime factorization of 188?
What two numbers multiply to give 188?
What is the sum of the factors of 188?
Is 188 a perfect square?
What is the largest factor of 188 other than itself?
How many factors does 188 have?
Explore more
Try another number in the factor calculator, break 188 down further with the prime factorization calculator, or compare 188 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.