Factor Calculator

Factors of 222

The factors of 222 are 1, 2, 3, 6, 37, 74, 111, and 222. In total, 222 has 8 factors. Its prime factorization is 2 × 3 × 37, and the sum of all its factors is 456.

All factors of 222

Here are all 8 factors of 222, listed from smallest to largest.

12363774111222

Factor pairs of 222

These 4 pairs of whole numbers each multiply to give 222.

1 × 222 = 222
2 × 111 = 222
3 × 74 = 222
6 × 37 = 222

Prime factorization of 222

Dividing 222 by the smallest prime at each step gives its prime factorization:

222 ÷ 2 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
Result: 222 = 2 × 3 × 37 = 2 × 3 × 37

The distinct prime factors of 222 are 2, 3, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 222

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

Factor tree of 2222222111337
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 222

Number of factors8
Sum of factors456
Sum of proper factors234
Prime factorization2 × 3 × 37
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 222 interesting

  • 222 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 222 is an abundant number: its proper factors sum to 234, which is 12 more than 222 itself.
  • 222 has 3 distinct prime factors (2, 3, 37), which is why it has so many divisors.

How to find the factors of 222 yourself

Divide 222 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 √222 ≈ 14.90, because every factor above that pairs with one below it.

222 ÷ 1 = 222 ✓
222 ÷ 2 = 111 ✓
222 ÷ 3 = 74 ✓
222 ÷ 6 = 37 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 37, 74, 111, 222. The factor calculator does this automatically for any number.

Numbers mathematically connected to 222.

Frequently asked questions about 222

What are the factors of 222?

The factors of 222 are 1, 2, 3, 6, 37, 74, 111, and 222. That is 8 factors in total, counting both 1 and 222.

Is 222 a prime number?

No, 222 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 222 is also divisible by 2.

What is the prime factorization of 222?

The prime factorization of 222 is 2 × 3 × 37. Written out in full: 2 × 3 × 37 = 222. Its distinct prime factors are 2, 3, 37.

What two numbers multiply to give 222?

There are 4 pairs of whole numbers that multiply to 222: 1 × 222, 2 × 111, 3 × 74, 6 × 37.

What is the sum of the factors of 222?

Adding all the factors of 222 together gives 456. Excluding 222 itself, the proper factors sum to 234.

Is 222 a perfect square?

No, 222 is not a perfect square. There is no whole number that multiplies by itself to give 222. The nearest perfect squares are 196 and 225.

What is the largest factor of 222 other than itself?

The largest factor of 222 apart from 222 itself is 111, since 222 ÷ 111 = 2.

How many factors does 222 have?

222 has 8 factors: 1, 2, 3, 6, 37, 74, 111, and 222. You can verify this from the prime factorization 2 × 3 × 37: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 222 down further with the prime factorization calculator, or compare 222 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.