Factors of 242
The factors of 242 are 1, 2, 11, 22, 121, and 242. In total, 242 has 6 factors. Its prime factorization is 2 × 11², and the sum of all its factors is 399.
All factors of 242
Here are all 6 factors of 242, listed from smallest to largest.
Factor pairs of 242
These 3 pairs of whole numbers each multiply to give 242.
Prime factorization of 242
Dividing 242 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 242 are 2, 11. To factorize any other number, use the prime factorization calculator.
Factor tree of 242
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 242
| Number of factors | 6 |
|---|---|
| Sum of factors | 399 |
| Sum of proper factors | 157 |
| Prime factorization | 2 × 11² |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 242 interesting
- 242 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
- 242 is a deficient number: its proper factors sum to 157, which is 85 less than 242 itself.
How to find the factors of 242 yourself
Divide 242 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 √242 ≈ 15.56, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 11, 22, 121, 242. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 242.
Frequently asked questions about 242
What are the factors of 242?
Is 242 a prime number?
What is the prime factorization of 242?
What two numbers multiply to give 242?
What is the sum of the factors of 242?
Is 242 a perfect square?
What is the largest factor of 242 other than itself?
How many factors does 242 have?
Explore more
Try another number in the factor calculator, break 242 down further with the prime factorization calculator, or compare 242 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.