Factors of 392
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, and 392. In total, 392 has 12 factors. Its prime factorization is 2³ × 7², and the sum of all its factors is 855.
All factors of 392
Here are all 12 factors of 392, listed from smallest to largest.
Factor pairs of 392
These 6 pairs of whole numbers each multiply to give 392.
Prime factorization of 392
Dividing 392 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 392 are 2, 7. To factorize any other number, use the prime factorization calculator.
Factor tree of 392
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 392
| Number of factors | 12 |
|---|---|
| Sum of factors | 855 |
| Sum of proper factors | 463 |
| Prime factorization | 2³ × 7² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 392 interesting
- 392 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.
- 392 is an abundant number: its proper factors sum to 463, which is 71 more than 392 itself.
How to find the factors of 392 yourself
Divide 392 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 √392 ≈ 19.80, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 392.
Frequently asked questions about 392
What are the factors of 392?
Is 392 a prime number?
What is the prime factorization of 392?
What two numbers multiply to give 392?
What is the sum of the factors of 392?
Is 392 a perfect square?
What is the largest factor of 392 other than itself?
How many factors does 392 have?
Explore more
Try another number in the factor calculator, break 392 down further with the prime factorization calculator, or compare 392 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.