Factor Calculator

Factors of 550

The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, and 550. In total, 550 has 12 factors. Its prime factorization is 2 × 5² × 11, and the sum of all its factors is 1116.

All factors of 550

Here are all 12 factors of 550, listed from smallest to largest.

125101122255055110275550

Factor pairs of 550

These 6 pairs of whole numbers each multiply to give 550.

1 × 550 = 550
2 × 275 = 550
5 × 110 = 550
10 × 55 = 550
11 × 50 = 550
22 × 25 = 550

Prime factorization of 550

Dividing 550 by the smallest prime at each step gives its prime factorization:

550 ÷ 2 = 275
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 550 = 2 × 5 × 5 × 11 = 2 × 5² × 11

The distinct prime factors of 550 are 2, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 550

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 5505502275555511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 550

Number of factors12
Sum of factors1116
Sum of proper factors566
Prime factorization2 × 5² × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 550 interesting

  • 550 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 550 is an abundant number: its proper factors sum to 566, which is 16 more than 550 itself.
  • 550 has 3 distinct prime factors (2, 5, 11), which is why it has so many divisors.

How to find the factors of 550 yourself

Divide 550 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 √550 ≈ 23.45, because every factor above that pairs with one below it.

550 ÷ 1 = 550 ✓
550 ÷ 2 = 275 ✓
550 ÷ 5 = 110 ✓
550 ÷ 10 = 55 ✓
550 ÷ 11 = 50 ✓
550 ÷ 22 = 25 ✓

Reading both columns gives every factor: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550. The factor calculator does this automatically for any number.

Numbers mathematically connected to 550.

Frequently asked questions about 550

What are the factors of 550?

The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, and 550. That is 12 factors in total, counting both 1 and 550.

Is 550 a prime number?

No, 550 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 550 is also divisible by 2.

What is the prime factorization of 550?

The prime factorization of 550 is 2 × 5² × 11. Written out in full: 2 × 5 × 5 × 11 = 550. Its distinct prime factors are 2, 5, 11.

What two numbers multiply to give 550?

There are 6 pairs of whole numbers that multiply to 550: 1 × 550, 2 × 275, 5 × 110, 10 × 55, 11 × 50, 22 × 25.

What is the sum of the factors of 550?

Adding all the factors of 550 together gives 1116. Excluding 550 itself, the proper factors sum to 566.

Is 550 a perfect square?

No, 550 is not a perfect square. There is no whole number that multiplies by itself to give 550. The nearest perfect squares are 529 and 576.

What is the largest factor of 550 other than itself?

The largest factor of 550 apart from 550 itself is 275, since 550 ÷ 275 = 2.

How many factors does 550 have?

550 has 12 factors: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, and 550. You can verify this from the prime factorization 2 × 5² × 11: add 1 to each exponent and multiply, giving 2 × 3 × 2 = 12.

Explore more

Try another number in the factor calculator, break 550 down further with the prime factorization calculator, or compare 550 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.