Factors of 321
The factors of 321 are 1, 3, 107, and 321. In total, 321 has 4 factors. Its prime factorization is 3 × 107, and the sum of all its factors is 432.
All factors of 321
Here are all 4 factors of 321, listed from smallest to largest.
Factor pairs of 321
These 2 pairs of whole numbers each multiply to give 321.
Prime factorization of 321
Dividing 321 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 321 are 3, 107. To factorize any other number, use the prime factorization calculator.
Factor tree of 321
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 321
| Number of factors | 4 |
|---|---|
| Sum of factors | 432 |
| Sum of proper factors | 111 |
| Prime factorization | 3 × 107 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 321 interesting
- 321 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
- 321 is a deficient number: its proper factors sum to 111, which is 210 less than 321 itself.
How to find the factors of 321 yourself
Divide 321 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 √321 ≈ 17.92, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 107, 321. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 321.
Frequently asked questions about 321
What are the factors of 321?
Is 321 a prime number?
What is the prime factorization of 321?
What two numbers multiply to give 321?
What is the sum of the factors of 321?
Is 321 a perfect square?
What is the largest factor of 321 other than itself?
How many factors does 321 have?
Explore more
Try another number in the factor calculator, break 321 down further with the prime factorization calculator, or compare 321 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.