Factors of 964
The factors of 964 are 1, 2, 4, 241, 482, and 964. In total, 964 has 6 factors. Its prime factorization is 2² × 241, and the sum of all its factors is 1694.
All factors of 964
Here are all 6 factors of 964, listed from smallest to largest.
Factor pairs of 964
These 3 pairs of whole numbers each multiply to give 964.
Prime factorization of 964
Dividing 964 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 964 are 2, 241. To factorize any other number, use the prime factorization calculator.
Factor tree of 964
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 964
| Number of factors | 6 |
|---|---|
| Sum of factors | 1694 |
| Sum of proper factors | 730 |
| Prime factorization | 2² × 241 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 964 interesting
- 964 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.
- 964 is a deficient number: its proper factors sum to 730, which is 234 less than 964 itself.
How to find the factors of 964 yourself
Divide 964 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 √964 ≈ 31.05, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 241, 482, 964. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 964.
Frequently asked questions about 964
What are the factors of 964?
Is 964 a prime number?
What is the prime factorization of 964?
What two numbers multiply to give 964?
What is the sum of the factors of 964?
Is 964 a perfect square?
What is the largest factor of 964 other than itself?
How many factors does 964 have?
Explore more
Try another number in the factor calculator, break 964 down further with the prime factorization calculator, or compare 964 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.