Factors of 363
The factors of 363 are 1, 3, 11, 33, 121, and 363. In total, 363 has 6 factors. Its prime factorization is 3 × 11², and the sum of all its factors is 532.
All factors of 363
Here are all 6 factors of 363, listed from smallest to largest.
Factor pairs of 363
These 3 pairs of whole numbers each multiply to give 363.
Prime factorization of 363
Dividing 363 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 363 are 3, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 363
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 363
| Number of factors | 6 |
|---|---|
| Sum of factors | 532 |
| Sum of proper factors | 169 |
| Prime factorization | 3 × 11² |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 363 interesting
- 363 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 363 is a deficient number: its proper factors sum to 169, which is 194 less than 363 itself.
How to find the factors of 363 yourself
Divide 363 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 √363 ≈ 19.05, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 11, 33, 121, 363. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 363.
Frequently asked questions about 363
What are the factors of 363?
Is 363 a prime number?
What is the prime factorization of 363?
What two numbers multiply to give 363?
What is the sum of the factors of 363?
Is 363 a perfect square?
What is the largest factor of 363 other than itself?
How many factors does 363 have?
Explore more
Try another number in the factor calculator, break 363 down further with the prime factorization calculator, or compare 363 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.