Factor Calculator

Factors of 220

The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220. In total, 220 has 12 factors. Its prime factorization is 2² × 5 × 11, and the sum of all its factors is 504.

All factors of 220

Here are all 12 factors of 220, listed from smallest to largest.

1245101120224455110220

Factor pairs of 220

These 6 pairs of whole numbers each multiply to give 220.

1 × 220 = 220
2 × 110 = 220
4 × 55 = 220
5 × 44 = 220
10 × 22 = 220
11 × 20 = 220

Prime factorization of 220

Dividing 220 by the smallest prime at each step gives its prime factorization:

220 ÷ 2 = 110
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 220 = 2 × 2 × 5 × 11 = 2² × 5 × 11

The distinct prime factors of 220 are 2, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 220

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

Factor tree of 2202202110255511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 220

Number of factors12
Sum of factors504
Sum of proper factors284
Prime factorization2² × 5 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 220 interesting

  • 220 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.
  • 220 is an abundant number: its proper factors sum to 284, which is 64 more than 220 itself.
  • 220 has 3 distinct prime factors (2, 5, 11), which is why it has so many divisors.

How to find the factors of 220 yourself

Divide 220 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 √220 ≈ 14.83, because every factor above that pairs with one below it.

220 ÷ 1 = 220 ✓
220 ÷ 2 = 110 ✓
220 ÷ 4 = 55 ✓
220 ÷ 5 = 44 ✓
220 ÷ 10 = 22 ✓
220 ÷ 11 = 20 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220. The factor calculator does this automatically for any number.

Numbers mathematically connected to 220.

Frequently asked questions about 220

What are the factors of 220?

The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220. That is 12 factors in total, counting both 1 and 220.

Is 220 a prime number?

No, 220 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 220 is also divisible by 2.

What is the prime factorization of 220?

The prime factorization of 220 is 2² × 5 × 11. Written out in full: 2 × 2 × 5 × 11 = 220. Its distinct prime factors are 2, 5, 11.

What two numbers multiply to give 220?

There are 6 pairs of whole numbers that multiply to 220: 1 × 220, 2 × 110, 4 × 55, 5 × 44, 10 × 22, 11 × 20.

What is the sum of the factors of 220?

Adding all the factors of 220 together gives 504. Excluding 220 itself, the proper factors sum to 284.

Is 220 a perfect square?

No, 220 is not a perfect square. There is no whole number that multiplies by itself to give 220. The nearest perfect squares are 196 and 225.

What is the largest factor of 220 other than itself?

The largest factor of 220 apart from 220 itself is 110, since 220 ÷ 110 = 2.

How many factors does 220 have?

220 has 12 factors: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, and 220. You can verify this from the prime factorization 2² × 5 × 11: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 220 down further with the prime factorization calculator, or compare 220 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.