Factors of 1155
The factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, and 1155. In total, 1155 has 16 factors. Its prime factorization is 3 × 5 × 7 × 11, and the sum of all its factors is 2304.
All factors of 1155
Here are all 16 factors of 1155, listed from smallest to largest.
Factor pairs of 1155
These 8 pairs of whole numbers each multiply to give 1155.
Prime factorization of 1155
Dividing 1155 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 1155 are 3, 5, 7, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 1155
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 1155
| Number of factors | 16 |
|---|---|
| Sum of factors | 2304 |
| Sum of proper factors | 1149 |
| Prime factorization | 3 × 5 × 7 × 11 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 1155 interesting
- 1155 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
- 1155 is a deficient number: its proper factors sum to 1149, which is 6 less than 1155 itself.
- 1155 has 4 distinct prime factors (3, 5, 7, 11), which is why it has so many divisors.
How to find the factors of 1155 yourself
Divide 1155 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 √1155 ≈ 33.99, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1155.
Frequently asked questions about 1155
What are the factors of 1155?
Is 1155 a prime number?
What is the prime factorization of 1155?
What two numbers multiply to give 1155?
What is the sum of the factors of 1155?
Is 1155 a perfect square?
What is the largest factor of 1155 other than itself?
How many factors does 1155 have?
Explore more
Try another number in the factor calculator, break 1155 down further with the prime factorization calculator, or compare 1155 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.