Factors of 949
The factors of 949 are 1, 13, 73, and 949. In total, 949 has 4 factors. Its prime factorization is 13 × 73, and the sum of all its factors is 1036.
All factors of 949
Here are all 4 factors of 949, listed from smallest to largest.
Factor pairs of 949
These 2 pairs of whole numbers each multiply to give 949.
Prime factorization of 949
Dividing 949 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 949 are 13, 73. To factorize any other number, use the prime factorization calculator.
Factor tree of 949
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 949
| Number of factors | 4 |
|---|---|
| Sum of factors | 1036 |
| Sum of proper factors | 87 |
| Prime factorization | 13 × 73 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 949 interesting
- 949 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.
- 949 is a deficient number: its proper factors sum to 87, which is 862 less than 949 itself.
How to find the factors of 949 yourself
Divide 949 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 √949 ≈ 30.81, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 13, 73, 949. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 949.
Frequently asked questions about 949
What are the factors of 949?
Is 949 a prime number?
What is the prime factorization of 949?
What two numbers multiply to give 949?
What is the sum of the factors of 949?
Is 949 a perfect square?
What is the largest factor of 949 other than itself?
How many factors does 949 have?
Explore more
Try another number in the factor calculator, break 949 down further with the prime factorization calculator, or compare 949 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.