Factors of 322
The factors of 322 are 1, 2, 7, 14, 23, 46, 161, and 322. In total, 322 has 8 factors. Its prime factorization is 2 × 7 × 23, and the sum of all its factors is 576.
All factors of 322
Here are all 8 factors of 322, listed from smallest to largest.
Factor pairs of 322
These 4 pairs of whole numbers each multiply to give 322.
Prime factorization of 322
Dividing 322 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 322 are 2, 7, 23. To factorize any other number, use the prime factorization calculator.
Factor tree of 322
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 322
| Number of factors | 8 |
|---|---|
| Sum of factors | 576 |
| Sum of proper factors | 254 |
| Prime factorization | 2 × 7 × 23 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 322 interesting
- 322 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 322 is a deficient number: its proper factors sum to 254, which is 68 less than 322 itself.
- 322 has 3 distinct prime factors (2, 7, 23), which is why it has so many divisors.
How to find the factors of 322 yourself
Divide 322 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 √322 ≈ 17.94, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 7, 14, 23, 46, 161, 322. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 322.
Frequently asked questions about 322
What are the factors of 322?
Is 322 a prime number?
What is the prime factorization of 322?
What two numbers multiply to give 322?
What is the sum of the factors of 322?
Is 322 a perfect square?
What is the largest factor of 322 other than itself?
How many factors does 322 have?
Explore more
Try another number in the factor calculator, break 322 down further with the prime factorization calculator, or compare 322 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.