Factors of 774
The factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, and 774. In total, 774 has 12 factors. Its prime factorization is 2 × 3² × 43, and the sum of all its factors is 1716.
All factors of 774
Here are all 12 factors of 774, listed from smallest to largest.
Factor pairs of 774
These 6 pairs of whole numbers each multiply to give 774.
Prime factorization of 774
Dividing 774 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 774 are 2, 3, 43. To factorize any other number, use the prime factorization calculator.
Factor tree of 774
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 774
| Number of factors | 12 |
|---|---|
| Sum of factors | 1716 |
| Sum of proper factors | 942 |
| Prime factorization | 2 × 3² × 43 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 774 interesting
- 774 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 774 is an abundant number: its proper factors sum to 942, which is 168 more than 774 itself.
- 774 has 3 distinct prime factors (2, 3, 43), which is why it has so many divisors.
How to find the factors of 774 yourself
Divide 774 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 √774 ≈ 27.82, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 774.
Frequently asked questions about 774
What are the factors of 774?
Is 774 a prime number?
What is the prime factorization of 774?
What two numbers multiply to give 774?
What is the sum of the factors of 774?
Is 774 a perfect square?
What is the largest factor of 774 other than itself?
How many factors does 774 have?
Explore more
Try another number in the factor calculator, break 774 down further with the prime factorization calculator, or compare 774 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.