Factors of 201
The factors of 201 are 1, 3, 67, and 201. In total, 201 has 4 factors. Its prime factorization is 3 × 67, and the sum of all its factors is 272.
All factors of 201
Here are all 4 factors of 201, listed from smallest to largest.
Factor pairs of 201
These 2 pairs of whole numbers each multiply to give 201.
Prime factorization of 201
Dividing 201 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 201 are 3, 67. To factorize any other number, use the prime factorization calculator.
Factor tree of 201
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 201
| Number of factors | 4 |
|---|---|
| Sum of factors | 272 |
| Sum of proper factors | 71 |
| Prime factorization | 3 × 67 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 201 interesting
- 201 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.
- 201 is a deficient number: its proper factors sum to 71, which is 130 less than 201 itself.
How to find the factors of 201 yourself
Divide 201 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 √201 ≈ 14.18, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 67, 201. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 201.
Frequently asked questions about 201
What are the factors of 201?
Is 201 a prime number?
What is the prime factorization of 201?
What two numbers multiply to give 201?
What is the sum of the factors of 201?
Is 201 a perfect square?
What is the largest factor of 201 other than itself?
How many factors does 201 have?
Explore more
Try another number in the factor calculator, break 201 down further with the prime factorization calculator, or compare 201 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.