Factor Calculator

Factors of 218

The factors of 218 are 1, 2, 109, and 218. In total, 218 has 4 factors. Its prime factorization is 2 × 109, and the sum of all its factors is 330.

All factors of 218

Here are all 4 factors of 218, listed from smallest to largest.

12109218

Factor pairs of 218

These 2 pairs of whole numbers each multiply to give 218.

1 × 218 = 218
2 × 109 = 218

Prime factorization of 218

Dividing 218 by the smallest prime at each step gives its prime factorization:

218 ÷ 2 = 109
109 ÷ 109 = 1
Result: 218 = 2 × 109 = 2 × 109

The distinct prime factors of 218 are 2, 109. To factorize any other number, use the prime factorization calculator.

Factor tree of 218

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

Factor tree of 2182182109
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 218

Number of factors4
Sum of factors330
Sum of proper factors112
Prime factorization2 × 109
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 218 interesting

  • 218 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.
  • 218 is a deficient number: its proper factors sum to 112, which is 106 less than 218 itself.

How to find the factors of 218 yourself

Divide 218 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 √218 ≈ 14.76, because every factor above that pairs with one below it.

218 ÷ 1 = 218 ✓
218 ÷ 2 = 109 ✓

Reading both columns gives every factor: 1, 2, 109, 218. The factor calculator does this automatically for any number.

Numbers mathematically connected to 218.

Frequently asked questions about 218

What are the factors of 218?

The factors of 218 are 1, 2, 109, and 218. That is 4 factors in total, counting both 1 and 218.

Is 218 a prime number?

No, 218 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 218 is also divisible by 2.

What is the prime factorization of 218?

The prime factorization of 218 is 2 × 109. Written out in full: 2 × 109 = 218. Its distinct prime factors are 2, 109.

What two numbers multiply to give 218?

There are 2 pairs of whole numbers that multiply to 218: 1 × 218, 2 × 109.

What is the sum of the factors of 218?

Adding all the factors of 218 together gives 330. Excluding 218 itself, the proper factors sum to 112.

Is 218 a perfect square?

No, 218 is not a perfect square. There is no whole number that multiplies by itself to give 218. The nearest perfect squares are 196 and 225.

What is the largest factor of 218 other than itself?

The largest factor of 218 apart from 218 itself is 109, since 218 ÷ 109 = 2.

How many factors does 218 have?

218 has 4 factors: 1, 2, 109, and 218. You can verify this from the prime factorization 2 × 109: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 218 down further with the prime factorization calculator, or compare 218 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.