Factors of 963
The factors of 963 are 1, 3, 9, 107, 321, and 963. In total, 963 has 6 factors. Its prime factorization is 3² × 107, and the sum of all its factors is 1404.
All factors of 963
Here are all 6 factors of 963, listed from smallest to largest.
Factor pairs of 963
These 3 pairs of whole numbers each multiply to give 963.
Prime factorization of 963
Dividing 963 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 963 are 3, 107. To factorize any other number, use the prime factorization calculator.
Factor tree of 963
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 963
| Number of factors | 6 |
|---|---|
| Sum of factors | 1404 |
| Sum of proper factors | 441 |
| Prime factorization | 3² × 107 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 963 interesting
- 963 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 963 is a deficient number: its proper factors sum to 441, which is 522 less than 963 itself.
How to find the factors of 963 yourself
Divide 963 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 √963 ≈ 31.03, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 9, 107, 321, 963. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 963.
Frequently asked questions about 963
What are the factors of 963?
Is 963 a prime number?
What is the prime factorization of 963?
What two numbers multiply to give 963?
What is the sum of the factors of 963?
Is 963 a perfect square?
What is the largest factor of 963 other than itself?
How many factors does 963 have?
Explore more
Try another number in the factor calculator, break 963 down further with the prime factorization calculator, or compare 963 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.