Factors of 55
The factors of 55 are 1, 5, 11, and 55. In total, 55 has 4 factors. Its prime factorization is 5 × 11, and the sum of all its factors is 72.
All factors of 55
Here are all 4 factors of 55, listed from smallest to largest.
Factor pairs of 55
These 2 pairs of whole numbers each multiply to give 55.
Prime factorization of 55
Dividing 55 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 55 are 5, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 55
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 55
| Number of factors | 4 |
|---|---|
| Sum of factors | 72 |
| Sum of proper factors | 17 |
| Prime factorization | 5 × 11 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 55 interesting
- 55 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.
- 55 is a deficient number: its proper factors sum to 17, which is 38 less than 55 itself.
- 55 appears in the Fibonacci sequence, where each number is the sum of the two before it.
- 55 is a triangular number — it is the sum of the first 10 whole numbers (1 + 2 + … + 10 = 55).
How to find the factors of 55 yourself
Divide 55 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 √55 ≈ 7.42, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 5, 11, 55. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 55.
Frequently asked questions about 55
What are the factors of 55?
Is 55 a prime number?
What is the prime factorization of 55?
What two numbers multiply to give 55?
What is the sum of the factors of 55?
Is 55 a perfect square?
What is the largest factor of 55 other than itself?
How many factors does 55 have?
Explore more
Try another number in the factor calculator, break 55 down further with the prime factorization calculator, or compare 55 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.