Factors of 788
The factors of 788 are 1, 2, 4, 197, 394, and 788. In total, 788 has 6 factors. Its prime factorization is 2² × 197, and the sum of all its factors is 1386.
All factors of 788
Here are all 6 factors of 788, listed from smallest to largest.
Factor pairs of 788
These 3 pairs of whole numbers each multiply to give 788.
Prime factorization of 788
Dividing 788 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 788 are 2, 197. To factorize any other number, use the prime factorization calculator.
Factor tree of 788
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 788
| Number of factors | 6 |
|---|---|
| Sum of factors | 1386 |
| Sum of proper factors | 598 |
| Prime factorization | 2² × 197 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 788 interesting
- 788 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.
- 788 is a deficient number: its proper factors sum to 598, which is 190 less than 788 itself.
How to find the factors of 788 yourself
Divide 788 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 √788 ≈ 28.07, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 197, 394, 788. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 788.
Frequently asked questions about 788
What are the factors of 788?
Is 788 a prime number?
What is the prime factorization of 788?
What two numbers multiply to give 788?
What is the sum of the factors of 788?
Is 788 a perfect square?
What is the largest factor of 788 other than itself?
How many factors does 788 have?
Explore more
Try another number in the factor calculator, break 788 down further with the prime factorization calculator, or compare 788 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.