Factors of 34
The factors of 34 are 1, 2, 17, and 34. In total, 34 has 4 factors. Its prime factorization is 2 × 17, and the sum of all its factors is 54.
All factors of 34
Here are all 4 factors of 34, listed from smallest to largest.
Factor pairs of 34
These 2 pairs of whole numbers each multiply to give 34.
Prime factorization of 34
Dividing 34 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 34 are 2, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 34
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 34
| Number of factors | 4 |
|---|---|
| Sum of factors | 54 |
| Sum of proper factors | 20 |
| Prime factorization | 2 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 34 interesting
- 34 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.
- 34 is a deficient number: its proper factors sum to 20, which is 14 less than 34 itself.
- 34 appears in the Fibonacci sequence, where each number is the sum of the two before it.
How to find the factors of 34 yourself
Divide 34 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 √34 ≈ 5.83, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 17, 34. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 34.
Frequently asked questions about 34
What are the factors of 34?
Is 34 a prime number?
What is the prime factorization of 34?
What two numbers multiply to give 34?
What is the sum of the factors of 34?
Is 34 a perfect square?
What is the largest factor of 34 other than itself?
How many factors does 34 have?
Explore more
Try another number in the factor calculator, break 34 down further with the prime factorization calculator, or compare 34 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.