Factors of 959
The factors of 959 are 1, 7, 137, and 959. In total, 959 has 4 factors. Its prime factorization is 7 × 137, and the sum of all its factors is 1104.
All factors of 959
Here are all 4 factors of 959, listed from smallest to largest.
Factor pairs of 959
These 2 pairs of whole numbers each multiply to give 959.
Prime factorization of 959
Dividing 959 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 959 are 7, 137. To factorize any other number, use the prime factorization calculator.
Factor tree of 959
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 959
| Number of factors | 4 |
|---|---|
| Sum of factors | 1104 |
| Sum of proper factors | 145 |
| Prime factorization | 7 × 137 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 959 interesting
- 959 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.
- 959 is a deficient number: its proper factors sum to 145, which is 814 less than 959 itself.
How to find the factors of 959 yourself
Divide 959 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 √959 ≈ 30.97, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 137, 959. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 959.
Frequently asked questions about 959
What are the factors of 959?
Is 959 a prime number?
What is the prime factorization of 959?
What two numbers multiply to give 959?
What is the sum of the factors of 959?
Is 959 a perfect square?
What is the largest factor of 959 other than itself?
How many factors does 959 have?
Explore more
Try another number in the factor calculator, break 959 down further with the prime factorization calculator, or compare 959 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.