Factors of 249
The factors of 249 are 1, 3, 83, and 249. In total, 249 has 4 factors. Its prime factorization is 3 × 83, and the sum of all its factors is 336.
All factors of 249
Here are all 4 factors of 249, listed from smallest to largest.
Factor pairs of 249
These 2 pairs of whole numbers each multiply to give 249.
Prime factorization of 249
Dividing 249 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 249 are 3, 83. To factorize any other number, use the prime factorization calculator.
Factor tree of 249
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 249
| Number of factors | 4 |
|---|---|
| Sum of factors | 336 |
| Sum of proper factors | 87 |
| Prime factorization | 3 × 83 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 249 interesting
- 249 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.
- 249 is a deficient number: its proper factors sum to 87, which is 162 less than 249 itself.
How to find the factors of 249 yourself
Divide 249 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 √249 ≈ 15.78, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 83, 249. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 249.
Frequently asked questions about 249
What are the factors of 249?
Is 249 a prime number?
What is the prime factorization of 249?
What two numbers multiply to give 249?
What is the sum of the factors of 249?
Is 249 a perfect square?
What is the largest factor of 249 other than itself?
How many factors does 249 have?
Explore more
Try another number in the factor calculator, break 249 down further with the prime factorization calculator, or compare 249 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.