Factors of 119
The factors of 119 are 1, 7, 17, and 119. In total, 119 has 4 factors. Its prime factorization is 7 × 17, and the sum of all its factors is 144.
All factors of 119
Here are all 4 factors of 119, listed from smallest to largest.
Factor pairs of 119
These 2 pairs of whole numbers each multiply to give 119.
Prime factorization of 119
Dividing 119 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 119 are 7, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 119
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 119
| Number of factors | 4 |
|---|---|
| Sum of factors | 144 |
| Sum of proper factors | 25 |
| Prime factorization | 7 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Odd |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 119 interesting
- 119 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.
- 119 is a deficient number: its proper factors sum to 25, which is 94 less than 119 itself.
How to find the factors of 119 yourself
Divide 119 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 √119 ≈ 10.91, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 7, 17, 119. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 119.
Frequently asked questions about 119
What are the factors of 119?
Is 119 a prime number?
What is the prime factorization of 119?
What two numbers multiply to give 119?
What is the sum of the factors of 119?
Is 119 a perfect square?
What is the largest factor of 119 other than itself?
How many factors does 119 have?
Explore more
Try another number in the factor calculator, break 119 down further with the prime factorization calculator, or compare 119 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.