Factors of 273
The factors of 273 are 1, 3, 7, 13, 21, 39, 91, and 273. In total, 273 has 8 factors. Its prime factorization is 3 × 7 × 13, and the sum of all its factors is 448.
All factors of 273
Here are all 8 factors of 273, listed from smallest to largest.
Factor pairs of 273
These 4 pairs of whole numbers each multiply to give 273.
Prime factorization of 273
Dividing 273 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 273 are 3, 7, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 273
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 273
| Number of factors | 8 |
|---|---|
| Sum of factors | 448 |
| Sum of proper factors | 175 |
| Prime factorization | 3 × 7 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 273 interesting
- 273 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.
- 273 is a deficient number: its proper factors sum to 175, which is 98 less than 273 itself.
- 273 has 3 distinct prime factors (3, 7, 13), which is why it has so many divisors.
How to find the factors of 273 yourself
Divide 273 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 √273 ≈ 16.52, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 7, 13, 21, 39, 91, 273. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 273.
Frequently asked questions about 273
What are the factors of 273?
Is 273 a prime number?
What is the prime factorization of 273?
What two numbers multiply to give 273?
What is the sum of the factors of 273?
Is 273 a perfect square?
What is the largest factor of 273 other than itself?
How many factors does 273 have?
Explore more
Try another number in the factor calculator, break 273 down further with the prime factorization calculator, or compare 273 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.