Factors of 217
The factors of 217 are 1, 7, 31, and 217. In total, 217 has 4 factors. Its prime factorization is 7 × 31, and the sum of all its factors is 256.
All factors of 217
Here are all 4 factors of 217, listed from smallest to largest.
Factor pairs of 217
These 2 pairs of whole numbers each multiply to give 217.
Prime factorization of 217
Dividing 217 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 217 are 7, 31. To factorize any other number, use the prime factorization calculator.
Factor tree of 217
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 217
| Number of factors | 4 |
|---|---|
| Sum of factors | 256 |
| Sum of proper factors | 39 |
| Prime factorization | 7 × 31 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 217 interesting
- 217 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.
- 217 is a deficient number: its proper factors sum to 39, which is 178 less than 217 itself.
How to find the factors of 217 yourself
Divide 217 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 √217 ≈ 14.73, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 31, 217. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 217.
Frequently asked questions about 217
What are the factors of 217?
Is 217 a prime number?
What is the prime factorization of 217?
What two numbers multiply to give 217?
What is the sum of the factors of 217?
Is 217 a perfect square?
What is the largest factor of 217 other than itself?
How many factors does 217 have?
Explore more
Try another number in the factor calculator, break 217 down further with the prime factorization calculator, or compare 217 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.