Factors of 764
The factors of 764 are 1, 2, 4, 191, 382, and 764. In total, 764 has 6 factors. Its prime factorization is 2² × 191, and the sum of all its factors is 1344.
All factors of 764
Here are all 6 factors of 764, listed from smallest to largest.
Factor pairs of 764
These 3 pairs of whole numbers each multiply to give 764.
Prime factorization of 764
Dividing 764 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 764 are 2, 191. To factorize any other number, use the prime factorization calculator.
Factor tree of 764
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 764
| Number of factors | 6 |
|---|---|
| Sum of factors | 1344 |
| Sum of proper factors | 580 |
| Prime factorization | 2² × 191 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 764 interesting
- 764 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.
- 764 is a deficient number: its proper factors sum to 580, which is 184 less than 764 itself.
How to find the factors of 764 yourself
Divide 764 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 √764 ≈ 27.64, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 191, 382, 764. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 764.
Frequently asked questions about 764
What are the factors of 764?
Is 764 a prime number?
What is the prime factorization of 764?
What two numbers multiply to give 764?
What is the sum of the factors of 764?
Is 764 a perfect square?
What is the largest factor of 764 other than itself?
How many factors does 764 have?
Explore more
Try another number in the factor calculator, break 764 down further with the prime factorization calculator, or compare 764 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.