Factor Calculator

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.

151155

Factor pairs of 55

These 2 pairs of whole numbers each multiply to give 55.

1 × 55 = 55
5 × 11 = 55

Prime factorization of 55

Dividing 55 by the smallest prime at each step gives its prime factorization:

55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 55 = 5 × 11 = 5 × 11

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.

Factor tree of 5555511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 55

Number of factors4
Sum of factors72
Sum of proper factors17
Prime factorization5 × 11
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

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 √557.42, because every factor above that pairs with one below it.

55 ÷ 1 = 55
55 ÷ 5 = 11

Reading both columns gives every factor: 1, 5, 11, 55. The factor calculator does this automatically for any number.

Frequently asked questions about 55

What are the factors of 55?

The factors of 55 are 1, 5, 11, and 55. That is 4 factors in total, counting both 1 and 55.

Is 55 a prime number?

No, 55 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 55 is also divisible by 5.

What is the prime factorization of 55?

The prime factorization of 55 is 5 × 11. Written out in full: 5 × 11 = 55. Its distinct prime factors are 5, 11.

What two numbers multiply to give 55?

There are 2 pairs of whole numbers that multiply to 55: 1 × 55, 5 × 11.

What is the sum of the factors of 55?

Adding all the factors of 55 together gives 72. Excluding 55 itself, the proper factors sum to 17.

Is 55 a perfect square?

No, 55 is not a perfect square. There is no whole number that multiplies by itself to give 55. The nearest perfect squares are 49 and 64.

What is the largest factor of 55 other than itself?

The largest factor of 55 apart from 55 itself is 11, since 55 ÷ 11 = 5.

How many factors does 55 have?

55 has 4 factors: 1, 5, 11, and 55. You can verify this from the prime factorization 5 × 11: add 1 to each exponent and multiply, giving 2 × 2 = 4.

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.