Factors of 340
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, and 340. In total, 340 has 12 factors. Its prime factorization is 2² × 5 × 17, and the sum of all its factors is 756.
All factors of 340
Here are all 12 factors of 340, listed from smallest to largest.
Factor pairs of 340
These 6 pairs of whole numbers each multiply to give 340.
Prime factorization of 340
Dividing 340 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 340 are 2, 5, 17. To factorize any other number, use the prime factorization calculator.
Factor tree of 340
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 340
| Number of factors | 12 |
|---|---|
| Sum of factors | 756 |
| Sum of proper factors | 416 |
| Prime factorization | 2² × 5 × 17 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Abundant |
What makes 340 interesting
- 340 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
- 340 is an abundant number: its proper factors sum to 416, which is 76 more than 340 itself.
- 340 has 3 distinct prime factors (2, 5, 17), which is why it has so many divisors.
How to find the factors of 340 yourself
Divide 340 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 √340 ≈ 18.44, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 340.
Frequently asked questions about 340
What are the factors of 340?
Is 340 a prime number?
What is the prime factorization of 340?
What two numbers multiply to give 340?
What is the sum of the factors of 340?
Is 340 a perfect square?
What is the largest factor of 340 other than itself?
How many factors does 340 have?
Explore more
Try another number in the factor calculator, break 340 down further with the prime factorization calculator, or compare 340 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.