Factors of 221
The factors of 221 are 1, 13, 17, and 221. In total, 221 has 4 factors. Its prime factorization is 13 × 17, and the sum of all its factors is 252.
All factors of 221
Here are all 4 factors of 221, listed from smallest to largest.
Factor pairs of 221
These 2 pairs of whole numbers each multiply to give 221.
Prime factorization of 221
Dividing 221 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 221 are 13, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 221
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 221
| Number of factors | 4 |
|---|---|
| Sum of factors | 252 |
| Sum of proper factors | 31 |
| Prime factorization | 13 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 221 interesting
- 221 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.
- 221 is a deficient number: its proper factors sum to 31, which is 190 less than 221 itself.
How to find the factors of 221 yourself
Divide 221 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 √221 ≈ 14.87, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 13, 17, 221. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 221.
Frequently asked questions about 221
What are the factors of 221?
Is 221 a prime number?
What is the prime factorization of 221?
What two numbers multiply to give 221?
What is the sum of the factors of 221?
Is 221 a perfect square?
What is the largest factor of 221 other than itself?
How many factors does 221 have?
Explore more
Try another number in the factor calculator, break 221 down further with the prime factorization calculator, or compare 221 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.