Factors of 957
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, and 957. In total, 957 has 8 factors. Its prime factorization is 3 × 11 × 29, and the sum of all its factors is 1440.
All factors of 957
Here are all 8 factors of 957, listed from smallest to largest.
Factor pairs of 957
These 4 pairs of whole numbers each multiply to give 957.
Prime factorization of 957
Dividing 957 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 957 are 3, 11, 29. To factorize any other number, use the prime factorization calculator.
Factor tree of 957
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 957
| Number of factors | 8 |
|---|---|
| Sum of factors | 1440 |
| Sum of proper factors | 483 |
| Prime factorization | 3 × 11 × 29 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 957 interesting
- 957 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.
- 957 is a deficient number: its proper factors sum to 483, which is 474 less than 957 itself.
- 957 has 3 distinct prime factors (3, 11, 29), which is why it has so many divisors.
How to find the factors of 957 yourself
Divide 957 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 √957 ≈ 30.94, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 11, 29, 33, 87, 319, 957. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 957.
Frequently asked questions about 957
What are the factors of 957?
Is 957 a prime number?
What is the prime factorization of 957?
What two numbers multiply to give 957?
What is the sum of the factors of 957?
Is 957 a perfect square?
What is the largest factor of 957 other than itself?
How many factors does 957 have?
Explore more
Try another number in the factor calculator, break 957 down further with the prime factorization calculator, or compare 957 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.