Factors of 772
The factors of 772 are 1, 2, 4, 193, 386, and 772. In total, 772 has 6 factors. Its prime factorization is 2² × 193, and the sum of all its factors is 1358.
All factors of 772
Here are all 6 factors of 772, listed from smallest to largest.
Factor pairs of 772
These 3 pairs of whole numbers each multiply to give 772.
Prime factorization of 772
Dividing 772 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 772 are 2, 193. To factorize any other number, use the prime factorization calculator.
Factor tree of 772
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 772
| Number of factors | 6 |
|---|---|
| Sum of factors | 1358 |
| Sum of proper factors | 586 |
| Prime factorization | 2² × 193 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 772 interesting
- 772 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.
- 772 is a deficient number: its proper factors sum to 586, which is 186 less than 772 itself.
How to find the factors of 772 yourself
Divide 772 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 √772 ≈ 27.78, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 193, 386, 772. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 772.
Frequently asked questions about 772
What are the factors of 772?
Is 772 a prime number?
What is the prime factorization of 772?
What two numbers multiply to give 772?
What is the sum of the factors of 772?
Is 772 a perfect square?
What is the largest factor of 772 other than itself?
How many factors does 772 have?
Explore more
Try another number in the factor calculator, break 772 down further with the prime factorization calculator, or compare 772 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.