Factors of 122
The factors of 122 are 1, 2, 61, and 122. In total, 122 has 4 factors. Its prime factorization is 2 × 61, and the sum of all its factors is 186.
All factors of 122
Here are all 4 factors of 122, listed from smallest to largest.
Factor pairs of 122
These 2 pairs of whole numbers each multiply to give 122.
Prime factorization of 122
Dividing 122 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 122 are 2, 61. To factorize any other number, use the prime factorization calculator.
Factor tree of 122
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 122
| Number of factors | 4 |
|---|---|
| Sum of factors | 186 |
| Sum of proper factors | 64 |
| Prime factorization | 2 × 61 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 122 interesting
- 122 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.
- 122 is a deficient number: its proper factors sum to 64, which is 58 less than 122 itself.
How to find the factors of 122 yourself
Divide 122 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 √122 ≈ 11.05, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 61, 122. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 122.
Frequently asked questions about 122
What are the factors of 122?
Is 122 a prime number?
What is the prime factorization of 122?
What two numbers multiply to give 122?
What is the sum of the factors of 122?
Is 122 a perfect square?
What is the largest factor of 122 other than itself?
How many factors does 122 have?
Explore more
Try another number in the factor calculator, break 122 down further with the prime factorization calculator, or compare 122 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.