Factors of 365
The factors of 365 are 1, 5, 73, and 365. In total, 365 has 4 factors. Its prime factorization is 5 × 73, and the sum of all its factors is 444.
All factors of 365
Here are all 4 factors of 365, listed from smallest to largest.
Factor pairs of 365
These 2 pairs of whole numbers each multiply to give 365.
Prime factorization of 365
Dividing 365 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 365 are 5, 73. To factorize any other number, use the prime factorization calculator.
Factor tree of 365
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 365
| Number of factors | 4 |
|---|---|
| Sum of factors | 444 |
| Sum of proper factors | 79 |
| Prime factorization | 5 × 73 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 365 interesting
- 365 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.
- 365 is a deficient number: its proper factors sum to 79, which is 286 less than 365 itself.
How to find the factors of 365 yourself
Divide 365 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 √365 ≈ 19.10, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 73, 365. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 365.
Frequently asked questions about 365
What are the factors of 365?
Is 365 a prime number?
What is the prime factorization of 365?
What two numbers multiply to give 365?
What is the sum of the factors of 365?
Is 365 a perfect square?
What is the largest factor of 365 other than itself?
How many factors does 365 have?
Explore more
Try another number in the factor calculator, break 365 down further with the prime factorization calculator, or compare 365 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.