Factors of 297
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, and 297. In total, 297 has 8 factors. Its prime factorization is 3³ × 11, and the sum of all its factors is 480.
All factors of 297
Here are all 8 factors of 297, listed from smallest to largest.
Factor pairs of 297
These 4 pairs of whole numbers each multiply to give 297.
Prime factorization of 297
Dividing 297 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 297 are 3, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 297
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 297
| Number of factors | 8 |
|---|---|
| Sum of factors | 480 |
| Sum of proper factors | 183 |
| Prime factorization | 3³ × 11 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 297 interesting
- 297 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.
- 297 is a deficient number: its proper factors sum to 183, which is 114 less than 297 itself.
How to find the factors of 297 yourself
Divide 297 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 √297 ≈ 17.23, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 9, 11, 27, 33, 99, 297. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 297.
Frequently asked questions about 297
What are the factors of 297?
Is 297 a prime number?
What is the prime factorization of 297?
What two numbers multiply to give 297?
What is the sum of the factors of 297?
Is 297 a perfect square?
What is the largest factor of 297 other than itself?
How many factors does 297 have?
Explore more
Try another number in the factor calculator, break 297 down further with the prime factorization calculator, or compare 297 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.