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.
Factor pairs of 22
These 2 pairs of whole numbers each multiply to give 22.
Prime factorization of 22
Dividing 22 by the smallest prime at each step gives its prime factorization:
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.
Properties of 22
| Number of factors | 4 |
|---|---|
| Sum of factors | 36 |
| Sum of proper factors | 14 |
| Prime factorization | 2 × 11 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √22 ≈ 4.69, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 11, 22. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 22.
Frequently asked questions about 22
What are the factors of 22?
Is 22 a prime number?
What is the prime factorization of 22?
What two numbers multiply to give 22?
What is the sum of the factors of 22?
Is 22 a perfect square?
What is the largest factor of 22 other than itself?
How many factors does 22 have?
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.