Factors of 253
The factors of 253 are 1, 11, 23, and 253. In total, 253 has 4 factors. Its prime factorization is 11 × 23, and the sum of all its factors is 288.
All factors of 253
Here are all 4 factors of 253, listed from smallest to largest.
Factor pairs of 253
These 2 pairs of whole numbers each multiply to give 253.
Prime factorization of 253
Dividing 253 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 253 are 11, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 253
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 253
| Number of factors | 4 |
|---|---|
| Sum of factors | 288 |
| Sum of proper factors | 35 |
| Prime factorization | 11 × 23 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 253 interesting
- 253 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.
- 253 is a deficient number: its proper factors sum to 35, which is 218 less than 253 itself.
- 253 is a triangular number — it is the sum of the first 22 whole numbers (1 + 2 + … + 22 = 253).
How to find the factors of 253 yourself
Divide 253 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 √253 ≈ 15.91, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 11, 23, 253. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 253.
Frequently asked questions about 253
What are the factors of 253?
Is 253 a prime number?
What is the prime factorization of 253?
What two numbers multiply to give 253?
What is the sum of the factors of 253?
Is 253 a perfect square?
What is the largest factor of 253 other than itself?
How many factors does 253 have?
Explore more
Try another number in the factor calculator, break 253 down further with the prime factorization calculator, or compare 253 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.