Factors of 364
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, and 364. In total, 364 has 12 factors. Its prime factorization is 2² × 7 × 13, and the sum of all its factors is 784.
All factors of 364
Here are all 12 factors of 364, listed from smallest to largest.
Factor pairs of 364
These 6 pairs of whole numbers each multiply to give 364.
Prime factorization of 364
Dividing 364 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 364 are 2, 7, 13. To factorize any other number, use the prime factorization calculator.
Factor tree of 364
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 364
| Number of factors | 12 |
|---|---|
| Sum of factors | 784 |
| Sum of proper factors | 420 |
| Prime factorization | 2² × 7 × 13 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 364 interesting
- 364 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.
- 364 is an abundant number: its proper factors sum to 420, which is 56 more than 364 itself.
- 364 has 3 distinct prime factors (2, 7, 13), which is why it has so many divisors.
How to find the factors of 364 yourself
Divide 364 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 √364 ≈ 19.08, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 364.
Frequently asked questions about 364
What are the factors of 364?
Is 364 a prime number?
What is the prime factorization of 364?
What two numbers multiply to give 364?
What is the sum of the factors of 364?
Is 364 a perfect square?
What is the largest factor of 364 other than itself?
How many factors does 364 have?
Explore more
Try another number in the factor calculator, break 364 down further with the prime factorization calculator, or compare 364 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.