Factor Calculator

Factors of 22

The factors of 22 are 1, 2, 11, and 22. In total, 22 has 4 factors. Its prime factorization is 2 × 11, and the sum of all its factors is 36.

All factors of 22

Here are all 4 factors of 22, listed from smallest to largest.

121122

Factor pairs of 22

These 2 pairs of whole numbers each multiply to give 22.

1 × 22 = 22
2 × 11 = 22

Prime factorization of 22

Dividing 22 by the smallest prime at each step gives its prime factorization:

22 ÷ 2 = 11
11 ÷ 11 = 1
Result: 22 = 2 × 11 = 2 × 11

The distinct prime factors of 22 are 2, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 22

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

Factor tree of 2222211
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 22

Number of factors4
Sum of factors36
Sum of proper factors14
Prime factorization2 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 22 interesting

  • 22 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.
  • 22 is a deficient number: its proper factors sum to 14, which is 8 less than 22 itself.

How to find the factors of 22 yourself

Divide 22 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 √224.69, because every factor above that pairs with one below it.

22 ÷ 1 = 22
22 ÷ 2 = 11

Reading both columns gives every factor: 1, 2, 11, 22. The factor calculator does this automatically for any number.

Frequently asked questions about 22

What are the factors of 22?

The factors of 22 are 1, 2, 11, and 22. That is 4 factors in total, counting both 1 and 22.

Is 22 a prime number?

No, 22 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 22 is also divisible by 2.

What is the prime factorization of 22?

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

What two numbers multiply to give 22?

There are 2 pairs of whole numbers that multiply to 22: 1 × 22, 2 × 11.

What is the sum of the factors of 22?

Adding all the factors of 22 together gives 36. Excluding 22 itself, the proper factors sum to 14.

Is 22 a perfect square?

No, 22 is not a perfect square. There is no whole number that multiplies by itself to give 22. The nearest perfect squares are 16 and 25.

What is the largest factor of 22 other than itself?

The largest factor of 22 apart from 22 itself is 11, since 22 ÷ 11 = 2.

How many factors does 22 have?

22 has 4 factors: 1, 2, 11, and 22. You can verify this from the prime factorization 2 × 11: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 22 down further with the prime factorization calculator, or compare 22 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.